.

Чисельно-аналітичний метод дослідження зліченноточкових крайових задач для звичайних диференціальних рівнянь в просторі обмежених числових послідовнос

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I?I?NOA?NOAI INA?OE OE?A?IE

*A?I?AAOeUeEEE AeA?AEAAIEE OI?AA?NEOAO

?I. TH.OAAeUeEIAE*A

IAAeIE?N Aieiaeeie? Aaeaiiae/

OAeE 517.927; 517.946

*ENAEUeII-AIAE?OE*IEE IAOIAe AeINE?AeAEAIIss

CE?*AIIIOI*EIAEO E?AEIAEO CAAeA*

AeEss CAE*AEIEO AeEOA?AIOe?AEUeIEO ??AIssIUe

O I?INOI?? IAIAAEAIEO *ENEIAEO IINE?AeIAIINOAE

01.01.02 – aeeoa?aioe?aeuei? ??aiyiiy

Aaoi?aoa?ao

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa o?ceei-iaoaiaoe/ieo iaoe

*a?i?aoe? – 2000

Aeena?oaoe??th ? ?oeiien.

?iaioo aeeiiaii ia eaoaae?? aaiiao??? ? iaoiaeeee aeeeaaeaiiy iaoaiaoeee
Eai”yiaoeue-Iiae?euenueeiai aea?aeaaiiai iaaeaaia?/iiai oi?aa?neoaoo.

Iaoeiaee ea??aiee:

aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani?

OAIE?INUeEEE TH??e Aieiaeeie?iae/,

caa?aeoaa/ eaoaae?e aaiiao??? ? iaoiaeeee

aeeeaaeaiiy iaoaiaoeee Eai”yiaoeue-Iiae?euenueeiai

aea?aeaaiiai iaaeaaia?/iiai oi?aa?neoaoo.

Io?oe?ei? iiiiaioe:

/eai-ei?aniiiaeaio IAI Oe?a?ie,

aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani?

IA?ANOTHE Ieeiea Ieaen?eiae/, aeaeai iaoai?ei-iaoaiaoe/iiai

oaeoeueoaoo Ee?anueeiai Iaoe?iiaeueiiai oi?aa?neoaoo ?i. Oa?ana
Oaa/aiea,

eaiaeeaeao o?ceei-iaoaiaoe/ieo iaoe, aeioeaio

A?AOI ss?ineaa Eineiiae/, aeioeaio eaoaae?e i?eeeaaeii? iaoaiaoeee

? iaoai?ee *a?i?aaoeueeiai aea?aeaaiiai oi?aa?neoaoo ?i.
TH.Oaaeueeiae/a.

I?ia?aeia onoaiiaa: ?inoeooo iaoaiaoeee IAI Oe?a?ie, a?aeae?e cae/aeieo
aeeoa?aioe?aeueieo ??aiyiue.

Caoeno aeena?oaoe?? a?aeaoaeaoueny 27 aeiaoiy 2000 ?ieo i 14 aiae. 00
oa. ia can?aeaii? niaoe?ae?ciaaii? a/aii? ?aaee E 76.051.02 i?e
*a?i?aaoeueeiio aea?aeaaiiio oi?aa?neoao? ?i. TH.Oaaeueeiae/a ca
aae?anith: 58012, i. *a?i?aoe?, aoe. Oi?aa?neoaonueea, 28.

C aeena?oaoe??th iiaeia iciaeiieoenue a a?ae?ioaoe? *a?i?aaoeueeiai
aea?aeaaiiai oi?aa?neoaoo ?i. TH.Oaaeueeiae/a (aoe. Ean? Oe?a?iee, 23)

Aaoi?aoa?ao ?ic?neaii 21 aa?aniy 2000 ?ieo.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee Naaeia”ye A.I.

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue oaie. Oai??y e?aeiaeo caaea/ aeey cae/aeieo
aeeoa?aioe?aeueieo ??aiyiue a inoaii? aeanyoee?ooy iaaoea ?ioaineaiiai
?icaeoeo. Oea coiiaeaii, c iaeiiai aieo, iaiao?aei?noth ?ica’ycaiiy
iecee oai?aoe/ieo i?iaeai, a c ?ioiai – caieoaie i?eeeaaeieo aaeocae
ciaiiy oa i?aeoeee. ?icaeoie oe??? oai??? ii/aany ua a e?ioe? XIX
noie?ooy c i?aoeue Oeiea oa I.I.Eyioiiaa. Ia ii/aoeo iaoiai noie?ooy
i?iaeaiaie oai??? e?aeiaeo caaea/ caeiaeenue N.I.Aa?iooaei,
A.Ae.A??eaio, Ae.Aeaeaenii, A.A.Ae?nn .

Nii/aoeo ?icaeaaeany, a iniiaiiio, oai??y e?i?eieo e?aeiaeo caaea/. A
iiaeaeueoiio ?icaeoie ae?noa? ? aea/aiiy iae?i?eieo caaea/.
Noai?ththoueny iaoiaee aeine?aeaeaiiy ?nioaaiiy ? ?aeeiino? ?ica’yce?a,
iiaoaeiae iaaeeaeaieo ?ica’yce?a, ioe?iee iioeaie. Oe? i?iaeaie
aena?oeai? a i?aoeyo I.I.E?aniin?euenueeiai, A.I.Aaei?eei, I.A.Acaae?aa,
I.A.Aie/oea, I.?.Iaeia?ea, I.I.Ia-?an-othea, ?.O.E?ao?aaeca,
Ae.?.Ia?oeithea, A.?.Ia?iaa, A.ss.E?i?ia, oa ?ioeo aeine?aeiee?a.

Ia oeae /an oai??y e?aeiaeo caaea/ aeei?enoiao? aeineoue iiooaeiee
a?naiae iaoiae?a. Oe? iaoiaee iiaeia oiiaii iiae?eeoe ia oae? iniiai?
a?oie, ye aiae?oe/i?, ooieoe?iiaeueii-aia-e?oe/i?, /enaeuei? oa
/enaeueii-aiae?oe/i?. Ne?ae a?aecia/eoe, ui aiae?oe/i? ?
ooieoe?iiaeueii-aiae?oe/i? iaoiaee ni?yiiaai?, aieiaiei /eiii, ia
aeine?aeaeaiiy ye?nieo aeanoeainoae ?ic-a’yceo, eiai ?nioaaiiy oa
?aeeiino?, caeaaeiino? a?ae ia?aiao??a. *enaeuei? iaoiaee i???ioiaai?
ia aaciina?aaei?e iiooe /enaeueieo cia/aiue iaaeeaeaieo ?ica’yce?a.
A?aeiinii /enaeueii-aiae?oe/ieo iaoiae?a iiaeia neacaoe, ui aiie a
iaaiiio ?icoi?ii? ? oi?aa?naeueieie – ?o canoiniaothoue ye aeey
aeine?aeaeaiiy ?nioaaiiy ?ica’yce?a, oae ? aeey ?o i?aeoe/ii? iiaoaeiae.

Caaaeyee oiio, ui /enaeueii-aiae?oe/i? iaoiaee c?o/i? aeey ?aae?caoe??
ia AII, cia/aiiy ?o c ?icaeoeii ia/enethaaeueii? oaoi?ee ua
ca?eueoeeinue. Aiie iinooiiai noathoue iaiao?aeiei caniaii aeyaeaiiy ?
iaaeeaeaiiai a?aeooeaiiy ?ica’yce?a iae?i?eieo e?aeiaeo caaea/, a oaeiae
a?aee?eaathoue ia?niaeoeao iiaeaeueoiai ?icaeoeo eiino?oeoeaieo iaoiae?a
aiae?co.

Iaaooue, iaea?eueoiai iioe?aiiy na?aae no/anieo iaoiae?a aeine?aeaeaiiy
e?aeiaeo caaea/ iaaoa /enaeueii-aiae?oe/iee iaoiae iine?aeiaieo
iaaeeaeaiue, ?icaeiooee aeey cae/aeieo aeeoa?aioe?aeueieo ??aiyiue
A.I.Naiieeaieii. ?noi??y ?icaeoeo oeueiai iaoiaeo aeeeaaeaia a
iioae?eiaai?e a Oe?a?inueeiio iaoaiaoe/iiio aeo?iae? na??? noaooae
I.E.?iioi, A.I.Na-iie-eaiea, N.?.O?io?i/oea. Caaaeyee nai?e i?inoio?,
aeinooiiino? ? oi?aa?naeueiino? /enaeueii-aiae?oe/iee iaoiae
canoiniao?oueny i?e ?ica’ycoaaii? oe?ieiai eeano caaea/ (iai?eeeaae, o
i?aoeyo oaeeo aeine?aeiee?a, ye A.I.Naiieeaiei, O.A.No?eaeae,
TH.A.Oaie?inueeee, Ae.?.Ia?oe-ithe, I.E.?iioi, A.A.?iioi, A.I.?iioi,
I.A.Aie/oe, O.A.Naa?ia, I.I.Ia-?anothe, N.?.O?i-oei/oe, ?.?.Iao?eoei,
A.TH.Eo/ea, I.Ae.Io?aeaiia, I.O?aaa, ?.I.Ia-?anthe, I.I.O?ioei/oe).

C ae?oai? iieiaeie iaoiai noie?ooy o ca’yceo c ?ica’ycoaaiiyi o?ce/ieo
oa oaoi?/ieo caaea/, ui noinothoueny nenoai c iane?i/aiiith e?euee?noth
nooiai?a a?eueiino?, ?icaeaa?oueny oai??y aeeoa?aioe?aeueieo ??aiyiue a
i?inoi?? iaiaaeaieo /eneiaeo iine?aeiaiinoae, ye? i?eeiyoi iaceaaoe
ce?/aiieie nenoaiaie aeeoa?aioe?aeueieo ??aiyiue. Ia aeaiee iiiaio
aecia/eeinue e?eueea iai?yie?a oe??? oai???: caaaeueia oai??y cae/aeieo
??aiyiue, nenoaie a /anoeiaeo iio?aeieo, oa?aeoa?enoe/i? /enea ?
no?ee?noue ?ica’yce?a, ona?aaeiaiiy, aeeoa?aioe?aeuei? ??aiyiiy a
ii?iiaaieo i?inoi?ao, “aaaaoiia??iaee/i?” ?ica’ycee oa aeaye? ?io?. Oe?e
oaiaoeoe? i?enay/aii ?iaioe A.I.Oeoiiiaa, E.I.Ia?neaenueeiai,
I.A.AEaooeeiaa ? E.A.Aae??aa, A.I.Naiieeaiea ? TH.A.Oaie?inueeiai, oa
aaaaoueio ?ioeo iaoaiaoee?a.

Iacaaaeath/e ia cia/io e?euee?noue i?aoeue, i?enay/aieo iaoiaeai
aeine?aeaeaiiy e?aeiaeo caaea/ ye aeey ne?i/aiieo, oae ? aeey ce?/aiieo
nenoai aeeoa?aioe?aeueieo ??aiyiue, ieoaiiy ?nioaaiiy oa ?aeeiino?
?ica’yce?a ce?/aiiioi/eiaeo e?aeiaeo caaea/ aeey ce?/aiieo nenoai, ii
noo?, ia aea/aeenue. A ia?oo /a?ao oea noino?oueny ?aaeoeoe?? oaeeo
caaea/ aei ne?i/aiiiaei??iiai aaaaoioi/eiaiai aeiaaeeo, ?ica’ycoaaiiy
caaea/ c iae?i?eieie e?aeiaeie oiiaaie oa caaea/ c iaiaiaaeaiith
iiiaeeiith e?aeiaeo iiiaio?a.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. ?iaioa aoea
?icii/aoa a ?aieao oaie EII-1-90/1AI “Aaaaoi/anoioi? eieeaaiiy
aeeoa?aioe?aeueieo nenoai a i?inoi?ao iaiaaeaieo /eneiaeo
iine?aeiaiinoae”, yea aeeiioaaeanue ia o?ceei-iaoaiaoe/iiio oaeoeueoao?
Eai’yiaoeue-Iiae?euenueeiai aea?aeaaiiai iaaeaaia?/iiai oi?aa?neoaoo a
1990 – 1995 ?ieao ? aoea i?iaeiaaeaia a ?aieao oaie AEI-95I1 “Caaaeuei?
aeanoeaino? caaea/ eaac?iioeei? ai?ieneiaoe?? ? /enaeuei? iaoiaee ?o
?ica’ycoaaiiy”(oa?i?i aeeiiaiiy – 1995-2000 ?iee) ca?aeii c
Eii?aeeiaoe?eiei ieaiii iaoeiaeo aeine?aeaeaiue I?i?noa?noaa ina?oe
Oe?a?ie a iai?yieo “Aaiiao?e/i? ? aiae?oe/i? iaoiaee a iaoaiaoeoe? oa ?o
canoinoaaiiy”.

Iaoa ?iaioe – ?iciianthaeaeaiiy /enaeueii-aiae?oe/iiai iaoiaeo
iine?aeiaieo iaaeeaeaiue ia aeine?aeaeaiiy ?ica’yce?a e?aeiaeo caaea/
aeey ce?/aiieo nenoai iae?i?eieo aeeoa?aioe?aeueieo ??aiyiue
ii?iaeueiiai aeaeyaeo ? ia ?ica’ycaieo a?aeiinii iio?aeii? o aeiaaeeo
ce?/aiiioi/eiaeo e?aeiaeo oiia (ye e?i?eieo, oae ? iae?i?eieo), caaeaieo
ia a?ae??ceo, a a aeayeeo aeiaaeeao – ia aeiaeaoi?e i?aa?n?.

Iaoiaee aeine?aeaeaiiy a?oioothoueny ia ?ic?iaeai?e A.I.Naiieeaieii
noai? aeine?aeaeaiiy ?ica’yce?a aeeoa?aioe?aeueieo ??aiyiue ca
aeiiiiiaith /enaeueii-aiae?oe/iiai iaoiaeo iine?aeiaieo iaaeeaeaiue.

Iaoeiaa iiaecia aeena?oaoe?eii? ?iaioe iieyaa? a ianooiiiio:

– iaa?oioiaaii canoinoaaiiy /enaeueii-aiae?oe/iiai iaoiaeo iine?aeiaieo
iaaeeaeaiue aeey ce?/aiieo nenoai cae/aeieo aeeoa?aioe?aeueieo ??aiyiue
ii?iaeueiiai aeaeyaeo c? ce?/aiiioi/eiaeie e?aeiaeie oiiaaie. Iaaaaeaii
?aaeoeoe?th oaeeo caaea/ aei ne?i/aiiiaei??iiai aeiaaeeo. Iaea?aeaii
oiiae ?ica’ycoaaiino? aecia/aeueieo ??aiyiue, aeinoaoi? oa iaiao?aei?
oiiae ?ica’ycoaaiino? e?aeiai? caaea/?. Ioe?iaii iioeaeo iaaeeaeaiiai
?ica’yceo ? eiai ii/aoeiaiai cia/aiiy o aeiaaeeo e?i?eiino? i?aai?
/anoeie ii?iaeueiiai ??aiyiiy ii
picscalex1000100090000038d0000000200150000000000050000000902000000000400
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00000b0200000000050000000c02600140011200000026060f001a00ffffffff00001000
0000c0ffffff2600000000010000860100000b00000026060f000c004d61746854797065
0000300015000000fb0280fe0000000000009001010000000402001054696d6573204e65
7720526f6d616e000066040000002d01000008000000320a00014c000100000078000a00
000026060f000a00ffffffff01000000000010000000fb021000070000000000bc020000
00cc0102022253797374656d00cc040000002d01010004000000f0010000030000000000
0000;

– ?acoeueoaoe, aiaeia?/i? aei aeayeeo ?c aeacaiao, iaea?aeaii aeey
ce?/aiieo nenoai aeeoa?aioe?aeueieo ??aiyiue, /anoeiai ?ica’ycaieo
a?aeiinii iio?aeii?, o aeiaaeeo ce?/aiiioi/eiaeo e?i?eieo e?aeiaeo oiia,
a oaeiae aeey ce?/aiieo nenoai ii?iaeueiiai aeaeyaeo i?e
ce?/aiiioi/eiaeo e?aeiaeo oiiaao, caaeaieo ia aeiaeaoi?e i?aa?n?, oa
ce?/aiiioi/eiaeo e?aeiaeo oiiaao c iae?i?eieie i?aaeie /anoeiaie;

– iieacaii iiaeeea?noue ?aae?caoe?? iaoiaeo ia i?eeeaae? eiie?aoii?
ce?/aiii? iae?i?eii? iaaaoiiiiii? nenoaie, i?aeii?yaeeiaaii?
ce?/aiiioi/eia?e e?i?ei?e e?aeia?e oiia?.

Oai?aoe/ia ? i?aeoe/ia oe?ii?noue aeena?oaoe?eii? ?iaioe iieyaa? a oiio,
ui iaea?aeai? ?acoeueoaoe ocaaaeueiththoue ? aeiiiaiththoue a?aeiia?aei?
aeine?aeaeaiiy ye a oai??? e?aeiaeo caaea/, oae ? a oai??? ce?/aiieo
nenoai aeeoa?aioe?aeueieo ??aiyiue. Cai?iiiiiaai? aeai?eoie iiaeooue
aooe canoiniaai? aei ?ica’ycoaaiiy caaea/ o?ceee, oaoi?ee, ye?
caiaeyoueny aei iae?i?eieo ce?/aiiiaei??ieo ce?/aiiioi/eiaeo e?aeiaeo
caaea/. ?acoeueoaoe, ui noinothoueny ?aaeoeoe?? aei ne?i/aiiiaei??iiai
aaaaoioi/eiaiai aeiaaeeo, aeicaieythoue caanoe ciaoiaeaeaiiy ?ica’yce?a
?icaeyaeoaaieo caaea/ aei ?ica’ycoaaiiy aeia?a aea/aieo
ne?i/aiiiaei??ieo aaaaoioi/eiaeo e?aeiaeo caaea/, yea iiaeia ?aae?coaaoe
ia AII.

Ai?iaaoe?y ?iaioe. Iniiai? ?acoeueoaoe aeena?oaoe?eii? ?iaioe
aeiiia?aeaeenue ia nai?ia?? a?aeae?eo cae/aeieo aeeoa?aioe?aeueieo
??aiyiue ?inoeoooo iaoaiaoeee IAI Oe?a?ie (ea??aiee nai?ia?o – aeaaeai?e
IAI Oe?a?ie A.I.Naiieeaiei), nai?ia?? iaoaiaoe/iiai oaeoeueoaoo
*a?i?aaoeueeiai aea?aeaaiiai oi?aa?neoaoo (ea??aiee nai?ia?o – aeieoi?
o?ceei-iaoaiaoe/ieo iaoe, i?ioani? N.Ae.?aaneoai), nai?ia??
o?ceei-iaoaiaoe/iiai oaeoeueoaoo Eai’yiaoeue-Iiae?euenueeiai
aea?aeaaiiai iaaeaaia?/iiai oi?aa?neoaoo (ea??aiee nai?ia?o – aeieoi?
o?ceei-iaoaiaoe/ieo iaoe, i?ioani? TH.A.Oaie?inueeee). E??i oiai,
aeiiia?ae? ca ?acoeueoaoaie aeena?oaoe?eiiai aeine?aeaeaiiy aoei
cae?eniaii ia oaeeo iaoeiaeo eiioa?aioe?yo: Anaoe?a?inueea oeiea-nai?ia?
“Iae?i?ei? e?aeia? caaea/? iaoaiaoe/ii? o?ceee oa ?o canoinoaaiiy” (7-12
aeiaoiy 1996 ?ieo, Eai’yiaoeue-Iiae?euenueeee); II Anaoe?a?inueea oeiea
“?yaee Oo?’?: oai??y ? canoinoaaiiy” (30 /a?aiy – 6 eeiiy 1997 ?ieo,
Eai’yiaoeue-Iiae?euenueeee); I?aeia?iaeia eiioa?aioe?y “No/ani? i?iaeaie
iaoaiaoeee” (25-30 /a?aiy 1998 ?ieo, *a?i?aoe?); *aoaa?oa E?einueea
I?aeia?iaeia iaoaiaoe/ia oeiea “Iaoiae ooieoe?e Eyioiiaa ? eiai
canoinoaaiiy” (5-12 aa?aniy 1998 ?ieo, Aeoooa); I?aeia?iaeia
oeiea-nai?ia? “Iae?i?ei? i?iaeaie aeeoa?aioe?aeueieo ??aiyiue ?
iaoaiaoe/ii? o?ceee – *aoaa?o? I?aeia?iaei? Aiaiethaianuee? /eoaiiy”
(12-19 aa?aniy 1998 ?ieo, Oaeai?iae).

Ioae?eaoe??. Ci?no aeena?oaoe?? a?aeia?aaeaii o 3 aeo?iaeueieo noaooyo,
3 ca??ieeao iaoeiaeo i?aoeue oa 2 oacao anaoe?a?inueeeo oa i?aeia?iaeieo
iaoeiaeo eiioa?aioe?e [1-8 ]. ?iaioe [1, 3, 7] iaienaii o ni?aaaoi?noa?
c i?ioani?ii TH.A.Oaie?inueeei. Eiio iaeaaeeoue iinoaiiaea caaea/? ?
iaaiai?aiiy ?acoeueoao?a, ye? aaoi?ii aeena?oaoe?? iaea?aeaii
naiino?eii.

No?oeoo?a ?iaioe. Aeena?oaoe?y neeaaea?oueny c? anooio, o?ueio
?icae?e?a, caaaeueieo aeniiae?a oa nieneo aeei?enoaii? e?oa?aoo?e, yeee
i?noeoue 133 iaeiaioaaiiy. Caaaeueiee ianya ?iaioe – 132 ae?oeiaai?
noi??iee, c ieo nienie aeei?enoaieo aeaea?ae caeia? 12 noi??iie, iniiaia
/anoeia – 120 noi??iie.

CI?NO ?IAIOE

O anooi? iaa?oioiao?oueny aeooaeuei?noue oaie aeena?oaoe??,
oi?ioeth?oueny iaoa ?iaioe, aea?oueny ei?ioeee iaeyae iniiaieo i?aoeue,
ye? noinothoueny ?icaeyaeoaaiiai a aeena?oaoe?? /enaeueii-aiae?oe/iiai
iaoiaeo iine?aeiaieo iaaeeaeaiue, ? iaaiaeeoueny ei?ioea aiioaoe?y
iaea?aeaieo ?acoeueoao?a.

A ia?oiio ?icae?e? i?iaiae?ciaaii iniiai? aoaie ?icaeoeo oai??? e?aeiaeo
caaea/ oa aeacaii i?noea, yea caeia? a oe?e oai??? aeaia aeine?aeaeaiiy.

O ae?oaiio ?icae?e? aea/a?oueny e?aeiaa caaea/a aeey aeeoa?aioe?aeueiiai
??aiyiiy

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ffffffff01000000000010000000fb021000070000000000bc02000000cc010202225379
7374656d00cc040000002d01020004000000f00101000300000000000000 (1)

c? ce?/aiiioi/eiaith e?aeiaith oiiaith

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0000c0ffffffb1ffffff00130000f10300000b00000026060f000c004d61746854797065
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2d01000004000000f001010008000000320a80021c1201000000640008000000320a8002
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0000, (2)

aeapicscalex100010009000003de0300000200150000000000050000000902000000000
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0020002001053796d626f6c0002040000002d01000004000000f001010008000000320af
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picscalex100010009000003ac0100000200150000000000050000000902000000000400
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0000 noae? iane?i/aii? iao?eoe?;
picscalex1000100090000035a0100000200150000000000050000000902000000000400
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fb021000070000000000bc02000000cc0102022253797374656d00cc040000002d010100
04000000f001000003000000000000000000 – i?ino?? iaiaaeaieo /eneiaeo
iine?aeiaiinoae
picscalex100010009000003210100000200150000000000050000000902000000000400
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010000003d000a00000026060f000a00ffffffff01000000000010000000fb0210000700
00000000bc02000000cc0102022253797374656d00cc040000002d01000004000000f001
01000300000000000000 c ii?iith
picscalex100010009000003910100000300150000000000050000000902000000000400
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010004000000f00102000300000000000000.

Caaea/a (1), (2) aea/a?oueny a i?eiouaiiyo, ui ooieoe?y
picscalex100010009000003d20000000200150000000000050000000902000000000400
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0a00ffffffff01000000000010000000fb021000070000000000bc02000000cc01020222
53797374656d00cc040000002d01000004000000f001010003000000000000000000
aecia/aia ? iaia?a?aia a iaeano?

picscalex100010009000003570100000200150000000000050000000902000000000400
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0100000030000a00000026060f000a00ffffffff01000000000010000000fb0210000700
00000000bc02000000cc0102022253797374656d00cc040000002d01000004000000f001
01000300000000000000, (3)

aea
picscalex100010009000003d00000000200150000000000050000000902000000000400
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7465696e0000040000002d01000008000000320a60012603010000004d0010000000fb02
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9001010000000402001054696d6573204e657720526f6d616e0000c8040000002d010000
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ffff01000000000010000000fb021000070000000000bc02000000cc0102022253797374
656d00cc040000002d01010004000000f001000003000000000000000000 – caieiaia
iaiaaeaia iaeanoue, ? a iaeano?
picscalex100010009000003b20000000200150000000000050000000902000000000400
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00000b0200000000050000000c02400220021200000026060f001a00ffffffff00001000
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0a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02
000000cc0102022253797374656d00cc040000002d01000004000000f001010003000000
000000000000 caaeiaieueiy? oiiao iaiaaeaiino? oa oiiao E?ioeoey c?
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picscalex100010009000003fa0000000200150000000000050000000902000000000400
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0a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02
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000000000000:

picscalex1000100090000034f0200000300150000000000050000000902000000000400
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5a007e0005000000130226027e000500000014025a004800050000001302260248000500
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050000001302260268130500000014025a00ae160500000013022602ae16050000001402
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031401000000a30008000000320a8a01761201000000a20008000000320a8a0146120100
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00cc0102022253797374656d00cc040000002d01020004000000f0010100030000000000
0000. (4)

O i?ae?icae?e? 2.1 aoaeo?oueny iine?aeiai?noue ooieoe?e
picscalex1000100090000031c0100000200150000000000050000000902000000000400
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26060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000cc
0102022253797374656d00cc040000002d01000004000000f00101000300000000000000
0000, ye? caaeiaieueiythoue e?aeiao oiiao (2) i?e iaaieo cia/aiiyo
picscalex100010009000003da0000000200150000000000050000000902000000000400
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001053796d626f6c0002040000002d01010004000000f001000008000000320a8001d101
01000000ce0015000000fb0220ff0000000000009001000000000402001054696d657320
4e657720526f6d616e000020040000002d01000004000000f001010008000000320ae001
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070000000000bc02000000cc0102022253797374656d00cc040000002d01010004000000
f001000003000000000000000000, ??aiii??ii ca?aeia aei oi/iiai ?ica’yceo
cao?aii? caaea/? (1), (2).

Oai?aia 2.4. Iaoae aeeiiothoueny i?eiouaiiy oai?aie 2.1, ?, e??i oiai:

1) ?nio? caieiaia iaiaaeaia iaeanoue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, oaea, ui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 oiiieia?/ii
a?aeia?aaea?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 ia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;

3) aeey aeayeiai iaoo?aeueiiai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 ??aiyiiy
picscalex1000100090000030f0100000200150000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02400280061200000026060f001a00ffffffff00001000
0000c0ffffffa6ffffff40060000e60100000b00000026060f000c004d61746854797065
0000600015000000fb0280fe0000000000009001000000000402001054696d6573204e65
7720526f6d616e0000ea040000002d01000008000000320a800184050100000030000800
0000320a8001570301000000290008000000320a8001080201000000280010000000fb02
80fe0000000000009001000000020002001053796d626f6c0002040000002d0101000400
0000f001000008000000320a80014704010000003d0008000000320a80013a0001000000
440015000000fb0280fe0000000000009001010000000402001054696d6573204e657720
526f6d616e0000ea040000002d01000004000000f001010008000000320a8001a4020100
0000780015000000fb0220ff0000000000009001010000000402001054696d6573204e65
7720526f6d616e0000ea040000002d01010004000000f001000008000000320ae0013c01
010000006d000a00000026060f000a00ffffffff01000000000010000000fb0210000700
00000000bc02000000cc0102022253797374656d00cc040000002d01000004000000f001
01000300000000000000 ia? a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 ?aeeiee ?ica’ycie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;

4) ia iaae?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?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 aeeiio?oueny ia??ai?noue:
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320aa002c31d010000006d0008000000320aa002ea1801000000780008000000320ad203
cb1501000000510008000000320aa8015f1401000000510008000000320aa00228100200
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15000000fb0220ff0000000000009001010000000402001054696d6573204e657720526f
6d616e00002a040000002d01010004000000f001020008000000320afc008d1501000000
6d0008000000320a0f041a0e01000000690008000000320a000306120100000069000800
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60ff0000000000009001010000000402001054696d6573204e657720526f6d616e00002a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.

Oiae? e?aeiaa caaea/a (1), (2) ia? ?ica’ycie
picscalex1000100090000030f0100000200150000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c024002c0051200000026060f001a00ffffffff00001000
0000c0ffffffb7ffffff80050000f70100000b00000026060f000c004d61746854797065
0000500015000000fb0280fe0000000000009001000000000402001054696d6573204e65
7720526f6d616e000005040000002d01000008000000320aa00100050100000029000800
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001054696d6573204e657720526f6d616e000005040000002d01010004000000f0010000
08000000320af4007103010000002a0015000000fb0280fe000000000000900101000000
0402001054696d6573204e657720526f6d616e000005040000002d01000004000000f001
010008000000320aa0017c0401000000740008000000320aa001c0020100000078000800
0000320aa0014c0001000000780010000000fb0280fe0000000000009001000000020002
001053796d626f6c0002040000002d01010004000000f001000008000000320aa0016b01
010000003d000a00000026060f000a00ffffffff01000000000010000000fb0210000700
00000000bc02000000cc0102022253797374656d00cc040000002d01000004000000f001
01000300000000000000, oaeee, ui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0000320aa001fc0401000000440008000000320aa0014c0001000000780010000000fb02
80fe0000000000009001000000020002001053796d626f6c0002040000002d0101000400
0000f001000008000000320aa001940301000000ce000a00000026060f000a00ffffffff
01000000000010000000fb021000070000000000bc02000000cc0102022253797374656d
00cc040000002d01000004000000f00101000300000000000000.

Aeae? anoaiiaeaii iaiao?aei? oiiae ?ica’ycoaaiino? e?aeiai? caaea/? (1),
(2):

Oai?aia 2.5. I?eionoeii, ui e?aeiaa caaea/a (1), (2) caaeiaieueiy? oiiae
oai?aie 2.1. Oiae? aeey oiai, uia aeayea iaeanoue
picscalex100010009000003fa0000000200150000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c026002c0051200000026060f001a00ffffffff00001000
0000c0ffffffa6ffffff80050000060200000b00000026060f000c004d61746854797065
0000700010000000fb0220ff0000000000009001010000020002001053796d626f6c0002
040000002d01000008000000320ae001f10401000000620015000000fb0280fe00000000
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010004000000f001000008000000320a8001e00301000000440008000000320a80014600
01000000440010000000fb0280fe0000000000009001000000020002001053796d626f6c
0002040000002d01000004000000f001010008000000320a80014f0201000000cc001500
0000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d61
6e000011040000002d01010004000000f001000008000000320ae0015101010000003200
0a00000026060f000a00ffffffff01000000000010000000fb021000070000000000bc02
000000cc0102022253797374656d00cc040000002d01000004000000f001010003000000
000000000000 i?noeea aeaiaio
picscalex100010009000003df0000000200150000000000050000000902000000000400
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00000b0200000000050000000c02600260021200000026060f001a00ffffffff00001000
0000c0ffffffb7ffffff20020000170200000b00000026060f000c004d61746854797065
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7720526f6d616e000066040000002d01000008000000320aa001b801010000002c001500
0000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d61
6e000066040000002d01010004000000f001000008000000320af4001701010000002a00
08000000320a00020b0101000000300015000000fb0280fe000000000000900101000000
0402001054696d6573204e657720526f6d616e000066040000002d01000004000000f001
010008000000320aa0014c000100000078000a00000026060f000a00ffffffff01000000
000010000000fb021000070000000000bc02000000cc0102022253797374656d00cc0400
00002d01010004000000f00100000300000000000000 ui aecia/a? i?e
picscalex100010009000003d20000000200150000000000050000000902000000000400
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0000c0ffffffc6ffffff20030000860100000b00000026060f000c004d61746854797065
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7720526f6d616e000065040000002d01000008000000320a60015b020100000030001000
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0a00ffffffff01000000000010000000fb021000070000000000bc02000000cc01020222
53797374656d00cc040000002d01010004000000f001000003000000000000004300
ii/aoeiaa cia/aiiy
picscalex100010009000003e70000000200150000000000050000000902000000000400
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0000c0ffffffb7ffffff80030000f70100000b00000026060f000c004d61746854797065
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7720526f6d616e000065040000002d01000008000000320aa0010b030100000029000800
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fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e00
0065040000002d01000004000000f001010008000000320aa0018c000100000078000a00
000026060f000a00ffffffff01000000000010000000fb021000070000000000bc020000
00cc0102022253797374656d00cc040000002d01010004000000f0010000030000000000
0000 ?ica’yceo e?aeiai? caaea/? (1), (2), iaiao?aeii, uia aeey an?o
aeineoue aaeeeeo iaoo?aeueieo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? aeia?eueiiai
picscalex100010009000003f90000000300150000000000050000000902000000000400
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00000b0200000000050000000c02600200051200000026060f001a00ffffffff00001000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 aeeiioaaeanue ia??ai?noue

picscalex100010009000003a20500000400150000000000050000000902000000000400
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04000000f001010003000000000000000000 e?aeiai? caaea/? (1), (2) a?ae
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picscalex100010009000003ff0000000200150000000000050000000902000000000400
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0000000000ff iaia?a?aia ii
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0000000010000000fb021000070000000000bc02000000cc0102022253797374656d00cc
040000002d01010004000000f0010000030000000000006c0002, iaiaaeaia ca
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000000000000ce?/aiiiaei??ia aaeoi?-ooieoe?y.

AENIIAEE

Iniiaieie ?acoeueoaoaie aeaiiai aeena?oaoe?eiiai aeine?aeaeaiiy ?
ianooii?:

1. *enaeueii-aiae?oe/iee iaoiae iine?aeiaieo iaaeeaeaiue ocaaaeueiaii ?
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aeaeyaeo ? /anoeiai ia ?ica’ycaieo a?aeiinii iio?aeii?,
i?aeii?yaeeiaaieo ce?/aiiioi/eiaei e?i?eiei e?aeiaei oiiaai ? (o
aeiaaeeo ii?iaeueii? nenoaie) ce?/aiiioi/eiaei e?aeiaei oiiaai c
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iiiaio?a.

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3. Aeey e?aeiaeo caaea/ c e?aeiaeie oiiaaie ia a?ae??ceo iiaoaeiaaii
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4. Aeey e?aeiaeo caaea/ c e?i?eieie e?aeiaeie oiiaaie ioe?iaii iioeaeo
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000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02600140011200000026060f001a00ffffffff00001000
0000c0ffffff2600000000010000860100000b00000026060f000c004d61746854797065
0000300015000000fb0280fe0000000000009001010000000402001054696d6573204e65
7720526f6d616e000072040000002d01000008000000320a00014c000100000078000a00
000026060f000a00ffffffff01000000000010000000fb021000070000000000bc020000
00cc0102022253797374656d00cc040000002d01010004000000f0010000030000000000
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5. ?aae?caoe?th iaoiaeo iieacaii ia i?eeeaae? ce?/aiii? iae?i?eii?
iaaaoiiiiii? nenoaie ia?oiai ii?yaeeo ii?iaeueiiai aeaeyaeo c?
ce?/aiiioi/eiaith e?i?eiith e?aeiaith oiiaith.

NIENIE IIOAE?EIAAIEO AAOI?II I?AOeUe CA OAIITH AeENA?OAOe??

1. Oaieeineee TH.A., Iaaeieen A.A. I?aaeaeueiua oai?aiu a oai?ee
iiiaioi/a/iuo e?aaauo caaea/ // Oe?. iao. aeo?i. – 1999. – 51, ? 4. – N.
519-531.

2. Iaaeieen A.A. I?aaeaeueiua oai?aiu a oai?ee iiiaioi/a/iuo e?aaauo
caaea/ aeey o?aaiaiee, ia ?ac?aoaiiuo ioiineoaeueii i?iecaiaeiie //
Aeii. IAI Oe?a?ie. Iaoaiaoeea, i?e?iaeie/?, oaoi?/i? iaoee. – 1999, ?
4. – N. 37-41.

3. Oaie?inueeee TH.A., Iaaeie?n A.A. I?i ce?/aiiioi/eia? e?aeia?
caaea/? aeey ce?/aiieo nenoai cae/aeieo aeeoa?aioe?aeueieo ??aiyiue //
Iae?i?ei? eieeaaiiy. – 1999. – 3, ? 2. – N. 252-266.

4. Iaaeie?n A.A. I?i e?aeia? caaea/? c iae?i?eieie ce?/aiiioi/eiaeie
e?aeiaeie oiiaaie aeey ce?/aiieo nenoai aeeoa?aioe?aeueieo ??aiyiue //
E?aeia? caaea/? aeey aeeoa?aioe?aeueieo ??aiyiue. – *a?i?aoe?: ?ooa. –
1998. – Aei. 3. – N. 92-110.

5. Iaaeie?n A.A. *enaeueii-aiae?oe/iee iaoiae aeey ce?/aiieo
aaaaoioi/eiaeo e?aeiaeo caaea/ // Ca. iaoe. i?aoeue
Eai’yiaoeue-Iiae?euenueeiai aea?aeaaiiai iaaeaaia?/iiai oi?aa?neoaoo.
Na??y o?ceei-iaoaiaoe/ia. – Eai’yiaoeue-Iiae?euenueeee iaaeoi?aa?neoao.
– 1997. – Aei 3. – N. 69-75.

6. Iaaeie?n A.A. I?i iioeaeo ia/eneaiiy ii/aoeiaiai cia/aiiy ?ica’yceo
ce?/aiieo aaaaoioi/eiaeo e?aeiaeo caaea/ // Ca. iaoe. i?aoeue
Eai’yiaoeue-Iiae?euenueeiai aea?aeaaiiai iaaeaaia?/iiai oi?aa?neoaoo.
Na??y o?ceei-iaoaiaoe/ia. – Eai’yiaoeue-Iiae?euenueeee iaaeoi?aa?neoao.
– 1998. – Aei 4. – N. 82-91.

7. Oaieeineee TH.A., Iaaeieen A.A. I n/aoiioi/a/iie e?aaaie caaea/a //
Iae?i?ei? e?aeia? caaea/? iaoaiaoe/ii? o?ceee oa ?o canoinoaaiiy. – E.:
?i-o iaoaiaoeee IAI Oe?a?ie. – 1996. – N. 88-90.

8. Iaaeie?n A.A. I?i ce?/aiiioi/eiao e?aeiao caaea/o c iaiaiaaeaiith
iiiaeeiith iiiaio?a // II oeiea “?yaee Oo?’?: oai??y ? canoinoaaiiy”.
Oace aeii. – E.: ?i-o iaoaiaoeee IAI Oe?a?ie. – 1997. – N. 87.

Iaaeie?n A.A. *enaeueii-aiae?oe/iee iaoiae aeine?aeaeaiiy
ce?/aiiioi/eiaeo e?aeiaeo caaea/ aeey cae/aeieo aeeoa?aioe?aeueieo
??aiyiue o i?inoi?? iaiaaeaieo /eneiaeo iine?aeiaiinoae. – ?oeiien.

Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa
o?ceei-iaoaiaoe/ieo iaoe ca niaoe?aeuei?noth 01.01.02 –
aeeoa?aioe?aeuei? ??aiyiiy. – *a?i?aaoeueeee aea?aeaaiee oi?aa?neoao ?i.
TH.Oaaeueeiae/a, *a?i?aoe?, 2000.

Aeena?oaoe?th i?enay/aii ?iciianthaeaeaiith /enaeueii-aiae?oe/iiai
iaoiaeo iine?aeiaieo iaaeeaeaiue ia aeine?aeaeaiiy e?aeiaeo caaea/ aeey
ce?/aiieo nenoai iae?i?eieo aeeoa?aioe?aeueieo ??aiyiue ia?oiai ii?yaeeo
ii?iaeueiiai aeaeyaeo ? /anoeiai ?ica’ycaieo a?aeiinii iio?aeii?, o
aeiaaeeo ce?/aiiioi/eiaeo e?aeiaeo oiia (e?i?eieo ? iae?i?eieo),
caaeaieo ye ia a?ae??ceo, oae ? ia an?e aeiaeaoi?e i?aa?n?. ?ic?iaeaii
?oa?aoe?ei? noaie iiaoaeiae ?ica’yce?a o aeaeyae? ??aiii??ii ca?aeii?
iine?aeiaiino? ooieoe?e, iaea?aeaii aeinoaoi? oa iaiao?aei? oiiae
?ica’ycoaaiino? e?aeiaeo caaea/. Aeey e?aeiaeo caaea/ c e?aeiaeie
oiiaaie ia a?ae??ceo iiaoaeiaaii ?aaeoeoe?th aei ne?i/aiiiaei??iiai
aaaaoioi/eiaiai aeiaaeeo. Aeey e?aeiaeo caaea/ c e?i?eieie e?aeiaeie
oiiaaie ioe?iaii iioeaeo ia/eneaiiy ii/aoeiaiai cia/aiiy ?ica’yceo o
aeiaaeeo e?i?eiino? i?aai? /anoeie ii?iaeueiiai ??aiyiiy ii
picscalex1000100090000038d0000000200150000000000050000000902000000000400
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00000b0200000000050000000c02600140011200000026060f001a00ffffffff00001000
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0000300015000000fb0280fe0000000000009001010000000402001054696d6573204e65
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000026060f000a00ffffffff01000000000010000000fb021000070000000000bc020000
00cc0102022253797374656d00cc040000002d01010004000000f0010000030000000000
006f. ?aae?caoe?th iaoiaeo iieacaii ia i?eeeaae? ce?/aiii? iae?i?eii?
iaaaoiiiiii? nenoaie ia?oiai ii?yaeeo ii?iaeueiiai aeaeyaeo c?
ce?/aiiioi/eiaith e?i?eiith e?aeiaith oiiaith.

Eeth/ia? neiaa: ce?/aiia nenoaia, ce?/aiiioi/eiaa e?aeiaa oiiaa,
/enaeueii-aia-e?oe/iee iaoiae, iine?aeiaia iaaeeaeaiiy, oi/ia
aecia/aeueia ooieoe?y, iaaeeaeaia aecia/aeueia ooieoe?y, ?aaeoeoe?y aei
ne?i/aiiiaei??iiai aeiaaeeo, iio?aeia O?aoa.

Iaaeieen A.A. *eneaiii-aiaeeoe/aneee iaoiae enneaaeiaaiey
n/aoiioi/a/iuo e?aaauo caaea/ aeey iaueiiaaiiuo aeeooa?aioeeaeueiuo
o?aaiaiee a i?ino?ainoaa ia?aie/aiiuo /eneiauo iineaaeiaaoaeueiinoae. –
?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie eaiaeeaeaoa
oeceei-iaoaiaoe/aneeo iaoe ii niaoeeaeueiinoe 01.01.02 –
aeeooa?aioeeaeueiua o?aaiaiey. – *a?iiaeoeeee ainoaea?noaaiiue
oieaa?neoao ei. TH.Oaaeueeiae/a, *a?iiaoeu, 2000.

Aeenna?oaoeey iinayuaia ?ani?ino?aiaieth e iaiauaieth
/eneaiii-aiaeeoe/aneiai iaoiaea iineaaeiaaoaeueiuo i?eaeeaeaiee ia
enneaaeiaaiea e?aaauo caaea/ aeey n/aoiuo nenoai iaeeiaeiuo
aeeooa?aioeeaeueiuo o?aaiaiee ia?aiai ii?yaeea ii?iaeueiiai aeaea

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0000c00009000000fa02000010000000000000002200040000002d010000050000001402
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020004000000f00101000300000000000000

e /anoe/ii ?ac?aoaiiuo ioiineoaeueii i?iecaiaeiie

picscalex1000100090000035b0100000300150000000000050000000902000000000400
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df03ae0401000000e80008000000320aa501ae0401000000e60008000000320a80025e02
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0012040000002d01010004000000f001020008000000320a80022c07010000002c000800
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0000fb021000070000000000bc02000000cc0102022253797374656d00cc040000002d01
020004000000f0010100030000000000000a

a neo/aa n/aoiioi/a/iuo e?aaauo oneiaee aeaea

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fb0280fe0000000000009001000000020002001053796d626f6c0002040000002d010000
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26060f000a00ffffffff01000000000010000000fb021000070000000000bc02000000cc
0102022253797374656d00cc040000002d01010004000000f00100000300000000000000
0800,

aaeapicscalex100010009000003de030000020015000000000005000000090200000000
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050000000b0200000000050000000c022003e0341200000026060f001a00ffffffff0000
10000000c0ffffffa4ffffffa0340000c40200000b00000026060f000c004d6174685479
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0000 iinoiyiiua aaneiia/iua iao?eoeu;
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fb021000070000000000bc02000000cc0102022253797374656d00cc040000002d010100
04000000f001000003000000000000000000 – i?ino?ainoai ia?aie/aiiuo
/eneiauo iineaaeiaaoaeueiinoae
picscalex100010009000003210100000200150000000000050000000902000000000400
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00000000bc02000000cc0102022253797374656d00cc040000002d01000004000000f001
01000300000000000000 n ii?iie
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ffff01000000000010000000fb021000070000000000bc02000000cc0102022253797374
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picscalex100010009000003b60000000200170000000000050000000902000000000400
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656d00cc040000002d01010004000000f001020003000000000000000000e nouanoaoao
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picscalex100010009000003ad0000000200150000000000050000000902000000000400
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04000000f001020003000000000000000000 (*)

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000000000000.

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9001010000020002001053796d626f6c0002040000002d01000004000000f00101000800
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010004000000f001000003000000000000ffiaeeiaeiay ooieoeey n/aoiiai
eiee/anoaa a?aoiaioia ec
picscalex100010009000003b00000000200150000000000050000000902000000000400
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00000b0200000000050000000c02a00180021200000026060f001a00ffffffff00001000
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0000200015000000fb0280fe0000000000009001000000000402001054696d6573204e65
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0102022253797374656d00cc040000002d01000004000000f00101000300000000000000
0201, i?eieiathuay cia/aiey ec
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022253797374656d00cc040000002d01010004000000f00100000300000000000000, e
e?aaaay caaea/a n iaia?aie/aiiui naa?oo iiiaeanoaii e?aaauo iiiaioia:

picscalex1000100090000037d0200000200150000000000050000000902000000000400
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010000003d0008000000320a8002c80b010000003d0008000000320a8002810401000000
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3d0015000000fb0220ff0000000000009001010000000402001054696d6573204e657720
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8002100d01000000640008000000320a8002f60901000000740008000000320a8002c408
01000000780008000000320a8002920701000000410008000000320a8002b70101000000
780008000000320a800258000100000041000a00000026060f000a00ffffffff01000000
000010000000fb021000070000000000bc02000000cc0102022253797374656d00cc0400
00002d01010004000000f00100000300000000000000.

Aeey e?aaauo caaea/ n e?aaauie oneiaeyie ia io?acea iino?iaia ?aaeoeoeey
e eiia/iiia?iiio iiiaioi/a/iiio neo/ath. Aeey e?aaauo caaea/ n eeiaeiuie
e?aaauie oneiaeyie ioeaiaia iia?aoiinoue au/eneaiey ia/aeueiiai cia/aiey
?aoaiey a neo/aa eeiaeiinoe i?aaie /anoe ii?iaeueiiai o?aaiaiey ii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. ?aaeecaoeey iaoiaea i?iaeaiiino?e?iaaia ia i?eia?a n/aoiie
iaeeiaeiie iaaaoiiiiiie nenoaiu ia?aiai ii?yaeea ii?iaeueiiai aeaea ni
n/aoiioi/a/iui e?aaaui oneiaeai.

Eeth/aaua neiaa: n/aoiay nenoaia, n/aoiioi/a/iia e?aaaia oneiaea,
/eneaiii-aiaeeoe/aneee iaoiae, iineaaeiaaoaeueiia i?eaeeaeaiea, oi/iay
ii?aaeaeythuay ooieoeey, i?eaeeaeaiiay ii?aaeaeythuay ooieoeey,
?aaeoeoeey e eiia/iiia?iiio neo/ath, i?iecaiaeiay O?aoa.

Nedokis V.A. Numerically – analytical method of a research countpoint of
boundary value problems for the ordinary differential equations in the
space of the limited numerical sequences. – Manuscript.

Thesis on competition of a scientific degree of the candidate of
physical and mathematical sciences on a speciality 01.01.02 –
differential equations. – Chernivtsy state university by Yu. Fedkovich,
Chernivtsy, 2000.

The thesis is devoted to distribution and generalization numerically –
analytical of method of successive approximations for a research of
boundary value problems for accounting systems of the nonlinear
differential equations of the first order of a normal aspect and
partially solved rather derivative, in a case of countpoint boundary
conditions (linear and nonlinear), given both on a segment, and on all
positive semiaxis. The iterative circuits of construction of solutions
as is uniform of a converging sequence of functions are developed, the
sufficient and necessary conditions of solving of boundary value
problems are obtained. For boundary value problems with boundary
conditions on a segment the reduction to a finite-dimensional multipoint
case is constructed. For boundary value problems with linear
differential equations and linear boundary conditions the error of an
evaluation of an initial value of a solution is appreciated. The
realization of a method is shown on an example of an accounting
nonlinear nonautonomous first order system of a normal aspect with a
countpoint boundary condition.

Key words: accounting system, countpoint boundary condition, numerically
– analytical method, successive approximations, exact defining function,
approached defining function, reduction to a finite-dimensional case,
derivative the Frechet.

I?aeienaii aei ae?oeo 06.09.2000 ?. Oi?iao 60o90/16.

Aao. a?e. 0,9. Iae. aeae. a?e. 1. Oiiai. ae?oe. a?e. 1,2.

Cai. ? 61. Iaeeaae 100.

?ioi?iaoe?eii-aeaeaaie/ee a?aeae?e Eai”yiaoeue-Iiae?euenueeiai

aea?aeaaiiai iaaeaaia?/iiai oi?aa?neoaoo.

32300, i. Eai”yiaoeue-Iiae?euenueeee, aoe. ?aaia Ia??iea, 61.

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