Iaoe?iiaeueia aeaaeai?y iaoe Oe?a?ie
?inoeooo e?aa?iaoeee ?iai? A. I. Aeooeiaa
Ae?AIIAA Oaoyia Aieiaeeie??aia
OAeE 519.685:519.63
IAOAIAOE*IA IIAeAETHAAIIss I?IOeAN?A
A IAEANOssO C AEETH*AIIssIE
01.05.02 – iaoaiaoe/ia iiaeaethaaiiy oa ia/enethaaeuei? iaoiaee
Aaoi?aoa?ao aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy
eaiaeeaeaoa o?ceei-iaoaiaoe/ieo iaoe
Ee?a 1998
Aeena?oaoe??th ? ?oeiien.
?iaioo aeeiiaii a ?inoeooo? e?aa?iaoeee ?iai? A. I. Aeooeiaa
IAI Oe?a?ie
Iaoeiaee ea??aiee: /eai-ei?aniiiaeaio IAI Oe?a?ie,
aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani?
NEIIAOeUeEEE Aaneeue Aaneeueiae/,
caa. a?aeae?eii ?inoeoooo e?aa?iaoeee ?i. A. I. Aeooeiaa IAI Oe?a?ie.
Io?oe?ei? iiiiaioe: aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani?
A?EIA TH??e Aiaoie?eiae/,
caa. eaoaae?ith oai?aoe/ii? e?aa?iaoeee
Ee?anueeiai oi?aa?neoaoo ?iai? O. A. Oaa/aiea,
eaiaeeaeao o?ceei-iaoaiaoe/ieo iaoe
AAEAA ?aaai Oaaei?iae/,
no. iaoe. ni?a. ?inoeoooo e?aa?iaoeee ?i. A. I. Aeooeiaa IAI Oe?a?ie.
I?ia?aeia onoaiiaa: Aei?i?iiao?ianueeee aea?aeaaiee oi?aa?neoao,
eaoaae?a aa?ia?ae?iiaoai?ee.
Caoeno a?aeaoaeaoueny “____” _______________ 199__ ?. i ____ aiae.
ia can?aeaii? niaoe?ae?ciaaii? a/aii? ?aaee Ae 26.194.02 i?e ?inoeooo?
e?aa?iaoeee ?iai? A. I. Aeooeiaa IAI Oe?a?ie ca aae?anith:
252022 Ee?a 22, i?iniaeo Aeaaeai?ea Aeooeiaa, 40.
C aeena?oaoe??th iiaeia iciaeiieoeny o iaoeiai-oaoi?/iiio a?o?a?
?inoeoooo.
Aaoi?aoa?ao ?ic?neaiee “____” _______________ 199__ ?.
O/aiee nae?aoa?
niaoe?ae?ciaaii? a/aii? ?aaee NEIssANUeEEE A.O.CAAAEUeIA
OA?AEOA?ENOEEA ?IAIOE
Aeooaeuei?noue oaie. Aeine?aeaeaiith o?eueo?aoe?eieo, oaiia?aoo?ieo oa
?ioeo iie?a i?enay/aii aaaaoi iaoeiaeo ? i?eeeaaeieo i?aoeue. Oea
coiiaeaii, a ia?oo /a?ao, i?aeoe/ieie caieoaie. Aeine?aeaeaiiy
o?eueo?aoe?eieo i?ioean?a a ??cieo na?aaeiaeuao ia? ia?oi/a?aiaa
cia/aiiy i?e ?icaeyae? i?iaeai aeieia??, ??eaaoe??, i?iaeooaaiiy oa
ooieoe?iioaaiiy a?ae?ioaoi?/ieo nii?oae, a oaeiae i?iaeai aeeoaiaoaaiiy
oa ?ic/eiaiiy i?ia?ae?ciaaieo ? nieaiinieo ii??ae, ?io?eueo?aoe?eiiai oa
a?ae?ioa?iaeueiiai ?oaeiooai?aiiy, ?io?oc?? ii?nueeeo aiae o i?eaa?aaei?
i?aecaii? aiaee ? o. ?i. Aeine?aeaeaiiy i?ioean?a oaieiia?aiino a?a?
aaaeeeao ?ieue i?e ?ic?iaoe? oa aenieoaoaoe?? ??ciiiai?oieo ae?ia?a oa
i?eno?i?a aa?aoe?eii? oa ?aeaoii-eini?/ii? oaoi?ee, aoiiii? aia?aaoeee,
iaoaeo?a?? ? o.?i.
?aaeuei? o?eueo?aoe?ei? oa oaiia?aoo?i? i?ioeane, ye i?aaeei,
a?aeaoaathoueny a ai?cio?iiieo na?aaeiaeuao, ui iathoue neeaaeio
aaiiao?e/io oi?io, oa?aeoa?ecothoueny iayai?noth aaaaoueio oa??a c
??ciith i?iieei?noth (i?ia?aei?noth), a oaeiae oiieeo i?ioa?e?a c
i?iieei?noth nooo?ai a?eueoith aai nooo?ai iaioith, i?ae i?iieei?noue
iniiaiiai na?aaeiaeua, ye? ii?iaeaeothoue ?ic?eae ia o?eueee a iieyo, a
e o iioieao aieiae (oaiea).
Iaoaiaoe/iiio iiaeaethaaiith aieeao oiieeo aeeth/aiue ia o?eueo?aoe?ei?
i?ioeane a neeaaeieo iaeanoyo aoei i?enay/aii ?iaioe ?.A.Na?a??iea, A.
A. Neiiaoeueeiai, A. N. Aeaeiaee, ?. ?. Eyoea, ?.I.Iie/aiiaa, E. ?.
Aeai/aiei, A. TH. Ienoaoeueeiai, TH. ?. Eaeoa?ia, A. ?. Eaa?eea,
I.ss.Ie?eieea, A.N.N??iai oa ?i. Aea/aiith ieoaiiy oi?ioaaiiy
oaiia?aoo?ieo iie?a a iaeanoyo c aeeth/aiiyie, e??i ia?ae?/aieo aaoi??a,
i?enay/ai? ?iaioe I. I. A?ey?aa, I. A. ?yaeia, A. N. Aaaeo?anueeiai,
A.A.Ae?aeoea?a, ?. E. Eae?i?ia, A. A. Einothea, A. A. AEoeaoneana,
I.Ae.Eiaaeaiea, A. A. Oioe?ia, I. ?. Aoaeae, A. I. Eiceiaa oa ?i.
Caaaeuei? oiiae, ui a?aoiaothoue aieea aeia?eueii i???ioiaaieo oiieeo
neaaei- oa neeueiii?iieeieo aeeth/aiue ia o?eueo?aoe?ei? ? oaiia?aoo?i?
i?ioeane a nooo?ai iaiaeii??aeieo na?aaeiaeuao, aoee aia?oa iaea?aeai?
A.A.Neiiaoeueeei oa A. N. Aeaeiaeith ? iaea?aeaee iacao iaiaeii??aeieo
oiia ni?yaeaiiy ia?aeaaeueiiai eiioaeoo. ?acii c oei, aeooaeueieie
caeeoathoueny i?iaeaie oai?aoe/iiai aeine?aeaeaiiy ?ica’yce?a caaaeueieo
ci?oaieo e?aeiaeo caaea/ c iaiaeii??aeieie oiiaaie ni?yaeaiiy
ia?aeaaeueiiai eiioaeoo.
Oaeei /eiii, iiaeaethaaiiy o?ce/ieo i?ioean?a o nooo?ai iaiaeii??aeieo
iaeanoyo caiaeeoueny aei ?ica’ycaiiy ci?oaieo e?aeiaeo caaea/, ye?
iiaeooue aeiioneaoe ?ic?eae a ?ica’yceo ? a iioioe?. Ine?eueee
iinoaiiaea oeeo caaea/ oa?aeoa?eco?oueny neeaaei?noth aaiiao??? iaeano?,
o ye?e ooea?oueny ??oaiiy, ??ciiiai?oi?noth e?aeiaeo oiia, ?ic?eai?noth
?ica’yceo ? o. ?i., oi oe?iea ?iciianthaeaeaiiy iaea?aeaee iaaeeaeai?
iaoiaee ?o ?ic?aooie?a. Ieoaiiy aeeaieiai oai?aoe/iiai aiae?co
caaaeoaaieo caaea/, canoinoaaiiy no/anieo /enaeueieo iaoiae?a ?
ia/enethaaeueii? oaoi?ee, noai?aiiy iaiao?aeieo i?ia?aiieo i?iaeoeo?a
aeey i?iaaaeaiiy a?aeiia?aeieo ia/enethaaeueieo aenia?eiaio?a ? aeoaea
aeooaeueieie, ?o ?icaeoeo i?enay/aii aaaaoi ?ia?o.
A ?inoeooo? i?iaeai iaoeiiaoaeoaaiiy IAI Oe?a?ie noai?aii
ia/enethaaeueio nenoaio IIEA aeey ?ica’ycaiiy aeaiaei??ieo e?aeiaeo
caaea/ aeey ??aiyiue ae?ioe/iiai ? ia?aaie?/iiai oeio i?aeoe/ii aac
iaiaaeaiue ia oa?aeoa? e?aeiaeo oiia, oi?io iaeano? ? a?aieoe? (ea??aiee
A. E. ?aa/ia). A Ee?anueeiio oi?aa?neoao? ?ic?iaeaii III ONI IN aeey
?ica’ycaiiy caaea/ o?eueo?aoe?? oa ianiia?aiino a a?oioao, a oaeiae
aeayeeo caaea/ a?ae?iiaoai?ee (ea??aiee ?. ?. Eyoei). O Nea??nueeiio
a?aeae?eaii? AI aoei noai?aii III AOAN, EN?-AANI aeey ?ica’ycaiiy
??aiyiiy Ioanniia c? ci?oaieie e?aeiaeie oiiaaie a aeaiaei??ieo ?
o?eaei??ieo iaeanoyo c aeeth/aiiyi (ea??aiee A.I.?eue?i). O
Iineianueeiio oi?aa?neoao? noai?aia aaoiiaoeciaaia nenoaia NAO?A
?ic?aooieo ??aiyiue oaieii?ia?aeiino? oa Iaa’?(Noiena (ea??aiee
I.A.Naia?nueeee).
A ?inoeooo? e?aa?iaoeee ?i. A. I. Aeooeiaa IAI Oe?a?ie ?ic?iaeaii
nenoaio aaoiiaoeciaaiiai ?ic?aooieo iie?a ? iioei?caoe?? eiino?oeoe?e
(NA?IIE). Aiia caaacia/o? aenieee ??aaiue aaoiiaoecaoe?? ?ica’ycaiiy
e?aeiaeo ? ii/aoeiai-e?aeiaeo caaea/ o /anoeiieo iio?aeieo, aecia/aieo o
neeaaeieo aaaaoieiiiiiaioieo iaeanoyo c ?ic??caie. Eiiieaen NA?IIE
oa?aeoa?eco?oueny aio/eei aeei?enoaiiyi iaeieo ? oeo naieo i?ia?aiieo
iiaeoe?a aeey ?ica’ycaiiy ??ciiiai?oieo o?ce/ieo caaea/, aaeeeith
e?euee?noth ?icaeyaeoaaieo eean?a caaea/ ? oi?aa?naeuei?noth caaaeaiiy
iaeanoae c ?ic??caie. Aenieioi/i? noaie ?ica’ycaiiy iaoaiaoe/ieo caaea/
?ic?iaeai? ia iniia? iaoiaeo ne?i/aiieo aeaiaio?a.
?acii c oei, aaoi?o iaa?aeii? noaie /e aeai?eoie ?ic?aooie?a, iaeaoe
i?ia?ai aai ie?ai? i?ia?aie, a yeeo aoei a ?aae?ciaaii /enaeueiee
?ic?aooiie ci?oaieo e?aeiaeo caaea/ c iaiaeii??aeieie oiiaaie ni?yaeaiiy
ia?aeaaeueiiai eiioaeoo. Oaeei /eiii, aeooaeueiith ? caaea/a noai?aiiy
aenieiaoaeoeaiiai aeai?eoi?/iiai oa i?ia?aiiiai caaacia/aiiy ?ic?aooieo
oeueiai aaaeeeaiai eeano e?aeiaeo caaea/.
Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. *anoeia
iaea?aeaieo aeena?oaioii iaoeiaeo ? i?aeoe/ieo ?acoeueoao?a ao?eaia a
iaoeiai-aeine?aeiiio i?iaeo? “I?ia?aiii-aeai?eoi?/ia oa iaoaiaoe/ia
caaacia/aiiy aeine?aeaeaiiy aeieia?/iiai noaio nooo?ai iaiaeii??aeieo
a?oioiaeo na?aaeiaeu” ? 0602 / 01717 ca ieaiii ooiaeaiaioaeueieo
aeine?aeaeaiue I?iiaoee Oe?a?ie a 1997-1998 ??.
Iaoa ?iaioe ? iniiai? caaaeaiiy. Iaoith ?iaioe ? ?ic?iaea a ?aieao
nenoaie NA?IIE aoaeoeaieo i?aenenoai, o oiio /ene? i?aeaeuaiiai ii?yaeeo
oi/iino?, aeey iiaeaethaaiiy noaoe?iia?ieo o?ce/ieo i?ioean?a a
ai?cio?iiieo aaaaoieiiiiiaioieo iaeanoyo neeaaeii? aaiiao?e/ii? oi?ie c
aeeth/aiiyie. Aeey iieno oeeo i?ioean?a ?icaeyiooi ci?oai? e?aeia?
caaea/? aeey ??aiyiue ae?ioe/iiai oeio c iaiaeii??aeieie oiiaaie
ni?yaeaiiy ia?aeaaeueiiai eiioaeoo, ?ica’ycee yeeo aeiioneathoue ?ic?eae
ii i?inoi?iaeo eii?aeeiaoao.
Aeey aeinyaiaiiy oe??? iaoe a i?ioean? aeine?aeaeaiue ae??ooaaeeny oae?
caaea/? :
oi?ioethaaiiy iiaeo iaoaiaoe/ieo iiaeaeae aeey iieno noaoe?iia?ieo
i?ioean?a a iaeanoyo c aeeth/aiiyie ;
?ic?iaea aenieioi/ieo ia/enethaaeueieo aeai?eoi?a iaoiaeo ne?i/aiieo
aeaiaio?a aeey caaea/ c ?ic?eaieie ?ica’yceaie oa ?ic?eaieie iioieaie ;
ioe?iee oi/iino? oa ca?aei?noue iaaeeaeaieo ?ica’yce?a aeey caaea/ c
?ic?eaieie ?ica’yceaie oa ?ic?eaieie iioieaie ;
i?iaeaiia iaoaiaoe/ia oa i?ia?aiia caaacia/aiiy aeey ?ica’ycaiiy caaea/
o nooo?ai iaiaeii??aeieo na?aaeiaeuao.
Caaaeueia iaoiaeeea aeine?aeaeaiue a?oioo?oueny ia aeei?enoaii?
aa??aoe?eieo iaoiae?a iaoaiaoe/ii? o?ceee, oai??? iaoiaeo ne?i/aiieo
aeaiaio?a (INA), oai??? a?ao?a oa iaoiae?a ?ica’ycaiiy nenoai
aeaaa?a?/ieo ??aiyiue.
Iaoeiaa iiaecia. Io?eiaii iaoaiaoe/i? iiaeae? noaoe?iia?ieo i?ioean?a
aieiai- ? oaieiia?aiino a ai?cio?iiieo aaaaoieiiiiiaioieo iaeanoyo
neeaaeii? aaiiao?e/ii? oi?ie, ui i?noyoue oiie? neaaei- oa
neeueiii?iieei? aeeth/aiiy. Iiaoaeiaaii ? oai?aoe/ii iaa?oioiaaii
aenieioi/i? aeai?eoie iaoiaeo ne?i/aiieo aeaiaio?a aeey /enaeueii?
?aae?caoe?? oeeo iiaeaeae, ui oa?aeoa?ecothoueny ?ic?eaii ?ica’yce?a ?
iioie?a. Io?eiaii ioe?iee ca?aeiino? iaaeeaeaieo ocaaaeueiaieo
?ica’yce?a. Noai?aii a?aeiia?aei? i?ia?aii? eiiieaene, aaeaioiaai? aei
nenoaie NA?IIE. ?ica’ycaii iiaeaeuei? i?eeeaaee. Iaoaiaoe/i? iiaeae?,
aeai?eoie oa ioe?iee ca?aeiino? aoei ?icaeyiooi aeey caaea/ ye a
aeaea?oia?e, oae ? a oeee?iae?e/i?e nenoaiao eii?aeeiao.
I?aeoe/ia oe?ii?noue. Cai?iiiiiaai? a aeena?oaoe?? iaoaiaoe/i? iiaeae?,
ia/enethaaeuei? aeai?eoie oa i?ia?aiia caaacia/aiiy ?icoe?ththoue
iiaeeeaino? nenoaie NA?IIE, a ?acoeueoaoe, io?eiai? ia iniia?
i?iaaaeaieo ia/enethaaeueieo aenia?eiaio?a, iiaeooue aeei?enoiaoaaoeny
i?e i?iaeooaaii? a?ae?ioaoi?/ieo nii?oae, ae?ia?a aa?aoe?eii? oa
?aeaoii-eini?/ii? oaoi?ee, aoiiii? aia?aaoeee, iaoaeo?a??, a oaeiae i?e
aeine?aeaeaiiyo aieiaioaieiia?aiino a a?oioao.
Aeinoia??i?noue iaoeiaeo iieiaeaiue, aeniiae?a ? i?aeoe/ieo
?aeiiaiaeaoe?e, ui i?noyoueny a aeena?oaoe??, i?aeoaa?aeaeo?oueny
no?iaeie oai?aoe/ieie aeeeaaeeaie ? ?acoeueoaoaie ?ica’yce?a oanoiaeo
i?eeeaae?a.
Ai?iaaoe?y ?iaioe. Iniiai? ?acoeueoaoe aeena?oaoe?eii? ?iaioe
aeiiia?aeaeeny oa iaaiai?thaaeeny ia Oino?e i?aeia?iaei?e iaoeia?e
eiioa?aioe?? ?i. aeaaeai?ea I.E?aa/oea (Ee?a, 1997), I?aeia?iaei?e
eiioa?aioe?? “Ieoaiiy iioei?caoe?? ia/eneaiue” (Ee?a, 1997),
oeie?-nai?ia?? “I?eeeaaeii i?iaeaie iaoaiaoeee, iaoaiiee oa iioi?iaoeee”
(??aia, 1997), iaoeiaeo nai?ia?ao ?inoeoooo e?aa?iaoeee ?i. A. I.
Aeooeiaa IAI Oe?a?ie (1997-1998).
Ioae?eaoe??. Ca iaoa??aeaie i?iaaaeaieo aeine?aeaeaiue iioae?eiaaii 7
iaoeiaeo i?aoeue.
Iniaenoee aianie aeena?oaioa a ?iaioao, aeeiiaieo o ni?aaaoi?noa?,
iieyaa? a o/ano? o iinoaiiaoe? iaoaiaoe/ieo caaea/, io?eiaii? iniiaieo
??aiyiue, ?ic?iaoe? /enaeueieo aeai?eoi?a, noai?aii? i?ia?ai
?ic?aooie?a, ?ioa?i?aoaoe?? ?acoeueoao?a oa o/ano? a iaienaii? noaoae.
No?oeoo?a oa ianya aeena?oaoe??. Aeena?oaoe?eia ?iaioa neeaaea?oueny c
anooio, o?ueio aeaa, aeniiae?a oa nieneo e?oa?aoo?e. Caaaeueiee ianya
?iaioe neeaaea? 150 noi??iie. A?ae?ia?ao?y i?noeoue 126 iaeiaioaaiue.
Oaeno aeena?oaoe?? i?noeoue 19 ?enoie?a oa 3 oaaeeoe?.
Aaoi? aaaaea? ca na?e iaia’ycie aeneiaeoe oaio e iiaeyeo eiinoeueoaioo
ae-?o o?c.-iao. iaoe, i?io. A.N. Aeaeiaoe? ca neooi? caoaaaeaiiy oa
eiino?oeoeai? ?aeiiaiaeaoe?? uiaei aeena?oaoe?eii? ?iaioe.
CI?NO AeENA?OAOe?EII? ?IAIOE
O anooi? iaa?oioiao?oueny aeooaeuei?noue oaie aeine?aeaeaiue,
oi?ioeth?oueny iaoa oa iniiai? caaaeaiiy ?iaioe, iaoeiaa iiaecia
iaea?aeaieo ?acoeueoao?a oa ?o i?aeoe/ia oe?ii?noue. Iaaiaeeoueny
noeneee ci?no ?icae?e?a aeena?oaoe??.
O ia?o?e aeaa? ?iaioe ?icaeyioo? iaoaiaoe/i? iiaeae? noaoe?iia?ieo
i?ioean?a o na?aaeiaeuao, ui i?noyoue a nia? oiie? neaaei- ?
neeueiii?iieei? aeeth/aiiy.
) ia? i?noea ??aiyiiy
(1)
; u=u(x,y) – ooeaia ooieoe?y.
Ia a?aieoe? ( caaeai? ci?oai? e?aeia? oiiae
(2)
(3)
, (4)
– a?aeii? ooieoe??; n – ciai?oiy ii?iaeue aei (.
?enoiie
Aeey a?aooaaiiy aieeao oiieiai neaaei- ? neeueiii?iieeiiai aeeth/aiiy (
ia o?ce/iee i?ioean aeei?enoiaothoueny iaiaeii??aei? oiiae ni?yaeaiiy
ia?aeaaeueiiai eiioaeoo, ui caienothoueny o aeaeyae?
(5)
(6)
– ooieoe?y aeaea?aea aai noieo ia a?ae??ceo (, n – ii?iaeue aei
aeeth/aiiy (, iai?aaeaia c iaeano? (1 a iaeanoue (2; [ . ] – no?eaie
a?aeiia?aeii? ooieoe?? ia (.
, ui caaeiaieueiy? ??aiyiiy (1).
, iathoue iaiaaeai? iaia?a?ai? ae?oa? /anoeii? iio?aei? ia (i (i=1,2)
? caaeiaieueiythoue iaiaeii??aei? ci?oai? e?aeia? oiiae (2)-(4) oa
iaiaeii??aei? oiiae ni?yaeaiiy (5), (6).
Aeey e?aeiai? caaea/? (1)-(6) noi?ioeueiaaii aea? aea?aaeaioi?
ocaaaeueiai? caaea/?.
, yea iaaea? i?i?ioi ooieoe?iiaeo aia?a??:
(7)
? caaeiaieueiythoue aieiaio e?aeiao oiiao (2).
caaeiaieueiy? ?ioaa?aeueia ni?aa?aeiioaiiy
(8)
? iaaoaathoue ioeueiaiai cia/aiiy ia /anoei? (1 a?aieoe? (.
Iathoue i?noea
– ?aeeiee eeane/iee ?ica’ycie e?aeiai? caaea/? (1)-(6) c ?ic?eaiei
?ica’yceii ? ?ic?eaiei iioieii ia (, a e?aeia? oiiae (3), (4) ? oiiae
ni?yaeaiiy (5), (6) aeeiiothoueny aaoiiaoe/ii.
Oai?aia 2. Eeane/iee ?ic?eaiee ?ica’ycie e?aeiai? caaea/? (1)-(6) ?
?aeeiei ?ica’yceii aa??aoe?eii? caaea/? (7) ? caaea/? a neaae?e
iinoaiiaoe? (8).
, ui ? ?ica’yceii aa??aoe?eii? caaea/? (7) (aai, ui oa naia, caaea/? a
neaae?e iinoaiiaoe? (8)), iaceaa?oueny ocaaaeueiaiei ?ic?eaiei
?ica’yceii e?aeiai? caaea/? (1)-(6).
Iinoaiiaea aeeoa?aioe?aeueii? caaea/?, ui iieno? onoaeai? i?ioeane a
aaaaoioa?iaeo iaeanoyo c oiieeie aeeth/aiiyie, a oeee?iae?e/ieo
eii?aeeiaoao aeey inaneiao?e/iiai aeiaaeeo ia? oaeee aeaeyae:
(9)
(10)
(11)
(12)
(13)
(14)
, a an? ?io? iicia/aiiy aiaeia?/i? caaea/? a aeaea?oiaeo eii?aeeiaoao.
, ui caaeiaieueiythoue iaiaeii??aei? ci?oai? e?aeia? oiiae (10)-(12) oa
iaiaeii??aei? oiiae ni?yaeaiiy (13), (14).
Aeey e?aeiai? caaea/? (9)-(14) iaea?aeaii aea? aea?aaeaioi? ocaaaeueiai?
caaea/?.
, yea iaaea? i?i?ioi ooieoe?iiaeo aia?a??
. (15)
caaeiaieueiy? ?ioaa?aeueia ni?aa?aeiioaiiy
(16)
Iathoue i?noea oai?aie i?i ?nioaaiiy ? ?aeei?noue ?ica’yceo
ocaaaeueiaieo caaea/ oa i?i ni?aa?aeiioaiiy ocaaaeueiaiiai ?ica’yceo c
eeane/iei ?ica’yceii caaea/? (9)-(14), oe?eeii aiaeia?/i? oai?aiai 1 ?
2.
c ?ic??caie (( iiaea aooe ? aaaaoica’yciith) ?icaeaa?oueny ia
ne?i/aiia /enei o?eeooieo aeaiaio?a, caaaeueia e?euee?noue yeeo ia
iaeano? ( aoaea N. Iio?i ia eiaeiiio c aeaiaio?a aaiaeeoueny iaiao?aeia
e?euee?noue aoceiaeo oi/ie (caeaaeii a?ae ii?yaeeo ai?ieneiaoe??), ye?
ioia?othoueny niaoe?aeueiei /eiii.
a ooieoe?iiae aia?a??, io?eio?ii nenoaio e?i?eieo aeaaa?a?/ieo
??aiyiue (NEA?), c yei? ciaoiaeeii iaaeeaeaiee ocaaaeueiaiee ?ica’ycie
, (17)
. Iao?eoey A ? neiao?e/iith ? aeiaeaoii aecia/aiith.
i?e k=1,2 (oiaoi aeey eoneiai-e?i?eieo ? eoneiai-eaaae?aoe/ieo
?ic?eaieo aeiionoeieo ooieoe?e) aeey caaea/ a aeaea?oiaeo ?
oeee?iae?e/ieo eii?aeeiaoao.
Aeey caaea/ a aeaea?oiaeo ? oeee?iae?e/ieo eii?aeeiaoao aeine?aeaeai?
ieoaiiy ca?aeiino? iaaeeaeaieo ?ica’yce?a ? oi/iino? ai?ieneiaoe??. Ia?
i?noea
(k=1,2) ni?aaaaeeeaa ioe?iea
, ( – iaeiaioa c aaee/ei eoo?a caaaeaieo o?eeooiee?a;
Caoaaaeaiiy. sseui a oiiaao oai?aie ooieoe?y ( ia ? iie?iiiii noaiaiy k,
aea ia (1 ia? iaiaaeaio k+1-oo iio?aeio, oi
– aia?aaoe/ia ii?ia, yea a aeaea?oiaeo eii?aeeiaoao ia? aeaeyae
,
a a oeee?iae?e/ieo –
.
O o?ao?e aeaa? iienaia iiaoaeiaa aaoiiaoeciaaiiai i?ia?aiiiai eiiieaeno
a ?aieao nenoaie NA?IIE aeey ?ic?aooieo o?ce/ieo i?ioean?a o
aaaaoieiiiiiaioieo ai?cio?iiieo na?aaeiaeuao c oiieeie aeeth/aiiyie.
?icaeyiooa i?ia?aiia ?aae?caoe?y ia/enethaaeueieo aeai?eoi?a INA, ui
aoee iienai? a ae?oa?e aeaa?, aeey caaea/ a aeaea?oiaeo oa
oeee?iae?e/ieo eii?aeeiaoao.
Aeaoaeueii iienai? an? i?aenenoaie oeueiai i?ia?aiiiai eiiieaeno. Aeey
aaaaeaiiy ao?aeii? ?ioi?iaoe?? noiniaii aaiiao??? iaeano? ? oiieeo
aeeth/aiue, a oaeiae o?ce/ieo ia?aiao??a na?aaeiaeua ? ciai?oi?o
aieea?a, eean?a aeiionoeieo ooieoe?e ? ia?aiao??a ne?i/aiii-aeaiaioiiai
?icaeooy iaeano? noai?aiee niaoe?aeueiee ?ioa?aeoeaiee a?ao?/iee
?ioa?oaen.
Aeae? ?icaeyioo? aeai?eoie ?icaeooy aaaaoieiiiiiaioii? iaeano? c
?ic??caie ia ne?i/aii? aeaiaioe (o?eeooieee), aaaaeaiiy ia ieo
iaiao?aeii? e?eueeino? aoceiaeo oi/ie a caeaaeiino? a?ae ii?yaeeo
ai?ieneiaoe?? INA, a oaeiae ii/aoeiai? ioia?aoe?? aoce?a. A?aeiii, ui
ia?aioia?aoe?y aoce?a, aeeiiaia niaoe?aeueiei /eiii, aea? aaeeeo
ia?aaaao a eiii’thoa?i?e iai’yo? oa a /an?, ui ? iaiao?aeiei aeey
?ic?aooie?a. O ?iaio? ?icaeyiooa ia?aioia?aoe?y aoce?a ca aeiiiiiaith
aeaio ??cieo i?aeoiae?a: iaoiaeo Eaoo?eea(Iaee? ? iaoiaeo ia?aeaeueieo
ia?a??c?a a?aeiia?aeii aeey i?io?eueii? ? aei/ii? noai caa??aaiiy
aeaiaio?a ?ic??aeaeaii? neiao?e/ii? iao?eoe? A nenoaie e?i?eieo
aeaaa?a?/ieo ??aiyiue (17). Iaaaaeaii ii??aiyeueiee aiae?c aoaeoeaiino?
oeeo aeaio iaoiae?a.
Aeey caaea/ o aeaea?oiaeo ? oeee?iae?e/ieo eii?aeeiaoao ?icaeyioo?
ieoaiiy oi?ioaaiiy aeene?aoieo ??aiyiue INA aeey aeiionoeieo
ooieoe?e-iie?iii?a ia?oiai ? ae?oaiai noaiaiy. Caeaaeii a?ae noaie
caa??aaiiy iao?eoe? ?aae?ciaai? ??ci? aeai?eoie ?icneeee ?? aeaiaio?a.
Aeey ?ica’ycaiiy nenoaie e?i?eieo aeaaa?a?/ieo ??aiyiue aoei canoiniaaii
? ii??aiyii oae? iaoiaee: iaoiae Oieannueeiai aeey iao?eoeue
?ic??aeaeaii? no?oeoo?e oa yaiee ? iayaiee aeaioa?iaee ?oa?aoe?eiee
iaoiae. I?ia?aiia ?aae?caoe?y oeeo iaoiae?a aoea iioei?ciaaia
niaoe?aeueii aeey i?io?eueii? ? aei/ii? noai caa??aaiiy aeaiaio?a
iao?eoe? A.
*enaeueia ?aae?caoe?y oanoiaeo caaea/ ? i?eeeaae?a aeicaieeea ?icaeyiooe
ieoaiiy aoaeoeaiino? aeai?eoi?a, ui aoee canoiniaai? aeey io?eiaiiy
iaaeeaeaiiai ?ica’yceo, a oaeiae i?iaanoe ?o ii??aiyeueiee aiae?c.
Iieacaii, ui canoinoaaiiy INA ia iniia? eean?a eoneiai-e?i?eieo ?
eoneiai-eaaae?aoe/ieo ooieoe?e aeey aeuaiaaaaeaieo niinia?a caa??aaiiy
iao?eoe? ? iaoiae?a ?ica’ycaiiy nenoaie aeaaa?a?/ieo ??aiyiue ?
aenieiaoaeoeaiei ? aeicaiey? io?eiaoe aenieioi/i? ?acoeueoaoe. Ia?aiee
iaoiae ia?aioia?aoe?? aoce?a, caa??aaiiy aeaiaio?a iao?eoe? ? ??
?ica’yceo ia aieeaa? ia e?ioeaao oi/i?noue io?eiaieo ?acoeueoao?a aeey
o?eniaaii? e?eueeino? aeaiaio?a ?icaeooy iaeano?. ?acii c oei aiane?aeie
cia/iiai aea?aoo a iaoeii?e iai’yo? ? a /an?, canoinoaaiiy i?ioeaaeo?
ia?aioia?aoe??, niaoe?aeueieo noai caa??aaiiy e?ioeaai? iao?eoe? NEA? oa
?? ?ica’ycaiiy nooo?ai ciaioo? caaaeuei? aeo?aoe ia io?eiaiiy
/enaeueiiai ?ica’yceo caaea/ c ?ic?eaiei ?ica’yceii ? ?ic?eaiei iioieii.
O ?iaio? aoei aeine?aeaeaii ? ii??aiyii ia?aaaae ? iaaeie?ee i?io?eueii?
noaie ? iaoiaeo ia?aeaeueieo ia?a??c?a i?e ia?aioia?aoe?? aoce?a
?icaeooy, oi?ioaaii? ? ?ica’ycaii? e?ioeaai? NEA?. Canoinoaaiiy aei/ii?
noaie caa??aaiiy iao?eoe? aeicaiey? a aeae?eueea ?ac?a cieceoe aeiiae
aei iaoeiii? iai’yo? ii??aiyii c i?io?eueiith noaiith. E??i oiai, aeey
?ica’ycaiiy NEA?, iao?eoey yei? ia?aoii?yaeeiaaia ca aeiiiiiaith iaoiaeo
ia?aeaeueieo ia?a??c?a, o?aaa iaioa /ano, i?ae aeey ia?aoii?yaeeiaaii?
i?io?eueiei iaoiaeii. I?e oeueiio aeey io?eiaiiy naii? ia?aioia?aoe?? oa
aei/ii? no?oeoo?e iao?eoe? iaiao?aeii o?ioe a?eueoa /ano, i?ae aeey
i?io?eueiiai ia?aoii?yaeeoaaiiy, ? aeai?eoie, ca aeiiiiiaith yeeo aiia
aoaeo?oueny ? aenieoaoo?oueny, ? iaaaaaoi neeaaei?oeie.
I?e aeine?aeaeaii? ?oa?aoe?eieo iaoiae?a ?ica’yceo NEA? aoei iieacaii,
ui i?e ?o canoinoaaii? aiane?aeie aeoaea aaeeei? ??cieoe? a e?eueeino?
?oa?aoe?e, iaiao?aeieo aeey aeinyaiaiiy eiie?aoii? oi/iino?, iayaia
noaia a caaaeueiiio aeiaaeeo i?aoeth? iaaaaaoi oaeaeoa, i?ae yaia.
Ine?eueee ?ica’ycaiiy NEA?, iao?eoey yei? aoea iiia?aaeiuei
ia?aoii?yaeeiaaia iaoiaeii ia?aeaeueieo ia?a??c?a, iio?aao? iaaaaaoi
iaioa /ano, i?ae aeey i?io?eueiiai ia?aoii?yaeeoaaiiy, oi canoinoaaiiy
oeueiai ia?aoii?yaeeoaaiiy aea? cia/iee aea?ao o /an? i?e canoinoaaii?
ye o yai?e, oae ? a iayai?e ?oa?aoe?eieo noaiao.
Iieacaii, ui canoinoaaiiy eoneiai-e?i?eii? ? eoneiai-eaaae?aoe/ii?
ai?ieneiaoe?? aeey a?eueoino? caaea/ aea? iaaeeaeai? ?ica’ycee
iaeiaeiaiai ii?yaeeo oi/iino?. Aea aoei ciaeaeaii ? aeine?aeaeaii eeane
caaea/ c neeueii inoeeethth/ei ca i?inoi?iaeie eii?aeeiaoaie ?ica’yceii,
canoinoaaiiy aei yeeo INA ae?oaiai ii?yaeeo oi/iino? aeicaieeei io?eiaoe
oe?eeii caaeia?euei? ?acoeueoaoe, a oie /an ye canoinoaaiiy INA ia?oiai
ii?yaeeo oi/iino? ia aeicaieeei a i?eioeei? ?ica’ycaoe caaea/o.
INIIAI? ?ACOEUeOAOE ?IAIOE
?ic?iaeaii iaoaiaoe/i? iiaeae?, ye? iienothoue o?ce/i? i?ioeane a
neeaaeieo iaeanoyo c oiieeie neeueii- oa neaaeii?iieeieie aeeth/aiiyie
aeey ci?oaieo e?aeiaeo oiia. Oe? iiaeae? ?icaeyiooi a aeaea?oia?e oa a
oeee?iae?e/i?e (aeey inaneiao?e/iiai aeiaaeeo) nenoaiao eii?aeeiao.
Iaea?aeaii aea?aaeaioi? ocaaaeueiai? caaea/?, ui aecia/ai? ia eeanao
?ic?eaieo ooieoe?e. Aeiaaaeaia oai?aia ?nioaaiiy oa ?aeeiino? ?ic?eaiiai
ocaaaeueiaiiai ?ica’yceo oa anoaiiaeaiee ca’ycie oeueiai ?ica’yceo c
eeane/iei ?ic?eaiei ?ica’yceii aeeoa?aioe?aeueii? caaea/?.
Ia iniia? INA c aeei?enoaiiyi eean?a eoneiai-iie?iii?aeueieo ?ic?eaieo
ooieoe?e iiaoaeiaaii aenieioi/i? ia/enethaaeuei? aeai?eoie
aeene?aoecaoe?? noi?ioeueiaaieo ocaaaeueiaieo caaea/.
Iaea?aeaii ioe?iee iioeaie iaaeeaeaieo ocaaaeueiaieo ?ica’yce?a e?aeiai?
caaea/?, ye? ca oi/i?noth ia iinooiathoueny aiaeia?/iei, io?eiaiei aeey
caaea/ c aeaaeeeie ?ica’yceaie.
Aeai?eoie INA ?aae?ciaai? iiaith i?ia?aioaaiiy N++ aeey ia?niiaeueiiai
eiii’thoa?a oeio IBM PC o aeaeyae? iia?eueieo iaeao?a i?ia?ai, ui
aaeaioiaai? aei nenoaie ?ic?aooie?a NA?IIE.
Ca aeiiiiiaith noai?aieo iaeao?a ?ica’ycai? iiaeaeuei? i?eeeaaee.
I?iaaaeaii ii??aiyeueiee aiae?c aoaeoeaiino? ??cieo iaoiae?a ioia?aoe??
aoce?a ?icaeooy iaeano? oa ?ica’ycaiiy nenoaie aeaaa?a?/ieo ??aiyiue.
Iniiai? iieiaeaiiy aeena?oaoe?? iioae?eiaai? a oaeeo i?aoeyo:
N e i i a oe e e e A. A., Ae a e i a e a A. N., Ae e a i i a a O.
A. Iiauoaiea yooaeoeaiinoe nenoai eiia/ii-yeaiaioiiai ?an/aoa ?ac?uaiuo
iieae // Oi?aaeythuea nenoaiu e iaoeiu. – 1998. – ?4. – N.10-20.
Ae a e i a e a A. N., Ae e a i i a a O. A. Nenoaia aaoiiaoe/aneie
o?eaiaoeyoeee iaeanoae n ?ac?acaie n oanoueth oceiauie oi/eaie ia
yeaiaioa // Ia/enethaaeueia oa i?eeeaaeia iaoaiaoeea. – 1997. – Aei. 81.
– N.53-62.
N e i i a oe ue e e e A. A., Ae a e i a e a A. N., Ae ? a i i a a
O. A. Noaie i?aeaeuaiiai ii?yaeeo oi/iino? aeey caaea/ c ?ic?eaieie
?ica’yceaie oa iioieaie // Aieeinueeee iao. a?niee. – 1997. – Aei. 4. –
N.159-162.
Ae a e i a e a A. N., Ae e a i i a a O. A., E ? e a i i i n E. TH.
*eneaiiia iiaeaee?iaaiea i?ioeannia a iiiaieiiiiiaioiuo n?aaeao n o/aoii
?ac?uaia iieae e iioieia. *anoue 1. – Eeaa, 1997. – 35 n. – (I?ai?. /
IAI Oe?aeiu. Ei-o eeaa?iaoeee ei. A.I.Aeooeiaa; 97-4).
Ae a e i a e a A. N., Ae e a i i a a O. A., E ? e a i i i n E. TH.
*eneaiiia iiaeaee?iaaiea i?ioeannia a iiiaieiiiiiaioiuo n?aaeao n o/aoii
?ac?uaia iieae e iioieia. *anoue 2. – Eeaa, 1997. – 36 n. – (I?ai?. /
IAI Oe?aeiu, Ei-o eeaa?iaoeee ei. A.I.Aeooeiaa; 97-7).
Ae ? a i i a a O. A. Noaie i?aeaeuaiiai ii?yaeeo oi/iino? iaoiaeo
ne?i/aiieo aeaiaio?a aeey inaneiao?e/ieo e?aeiaeo caaea/ c
iaiaeii??aeieie oiiaaie ni?yaeaiiy ia?aeaaeueiiai eiioaeoo // I?aoe?
i?aeia?. eiio. “Ieoaiiy iioei?caoe?? ia/eneaiue” , Ee?a, 6-8 aeiaoiy
1997 ?. – Ee?a, 1997. – N. 98-102.
N e i i a oe ue e e e A., Ae a e i a e a A., Ae ? a i i a a O.
Aenieioi/i? noaie INA aeey ?ic?aooieo o?ce/ieo i?ioean?a c
iaiaeii??aeieie oiiaaie ni?yaeaiiy ia?aeaaeueiiai eiioaeoo // Iaoa??aee
6-? i?aeia?. iaoe. eiio. ?i. aeaaeai?ea I. E?aa/oea, Ee?a, 15-17 o?aaiy
1997 ?. – Ee?a, 1997. – N. 364.
Ae?AIIAA Oaoyia Aieiaeeie??aia. Iaoaiaoe/ia iiaeaethaaiiy i?ioean?a a
iaeanoyo c aeeth/aiiyie. – ?oeiien.
Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa
o?ceei-iaoaiaoe/ieo iaoe ca niaoe?aeuei?noth 01.05.02 – iaoaiaoe/ia
iiaeaethaaiiy oa ia/enethaaeuei? iaoiaee. – ?inoeooo e?aa?iaoeee ?iai?
A. I. Aeooeiaa IAI Oe?a?ie, Ee?a, 1998.
?icaeyioo? aeooaeuei? ieoaiiy iaoaiaoe/iiai iiaeaethaaiiy o?ce/ieo
i?ioean?a o neeaaeieo iaeanoyo c oiieeie aeeth/aiiyie. Iaea?aeai?
i?ea?iaeuei? ocaaaeueiai? iinoaiiaee caaea/ c ?ic?eaieie ?ica’yceaie ?
?ic?eaieie iioieaie, iieacaii ?nioaaiiy oa ?aeei?noue ocaaaeueiaieo
?ica’yce?a. Cai?iiiiiaai? ? oai?aoe/ii iaa?oioiaai? aenieioi/i? noaie
iaoiaeo ne?i/aiieo aeaiaio?a aeey ?ica’yceo caaea/ c ?ic?eaieie
?ica’yceaie oa ?ic?eaieie iioieaie. ?icaeyioo? ieoaiiy i?ia?aiii?
?aae?caoe?? ia/enethaaeueieo aeai?eoi?a o ?aieao nenoaie NA?IIE ?
i?aeaeuaiiy aoaeoeaiino? nenoai ne?i/aiii-aeaiaioiiai ?ic?aooieo
?ic?eaieo iie?a.
Eeth/ia? neiaa : iaoaiaoe/ia iiaeaethaaiiy, caaea/? c ?ic?eaieie
?ica’yceaie ? ?ic?eaieie iioieaie, ocaaaeueiai? caaea/?, iaoiae
ne?i/aiieo aeaiaio?a, i?ia?aiia ?aae?caoe?y.
AeEAIIAA Oaoueyia Aeaaeeie?iaia. Iaoaiaoe/aneia iiaeaee?iaaiea
i?ioeannia a iaeanoyo n aeeth/aieyie. – ?oeiienue.
Aeenna?oaoeey ia nieneaiea o/aiie noaiaie eaiaeeaeaoa
oeceei-iaoaiaoe/aneeo iaoe ii niaoeeaeueiinoe 01.05.02 – iaoaiaoe/aneia
iiaeaee?iaaiea e au/eneeoaeueiua iaoiaeu. – Einoeooo eeaa?iaoeee eiaie
A.I. Aeooeiaa IAI Oe?aeiu, Eeaa, 1998.
?anniio?aiu aeooaeueiua aii?inu iaoaiaoe/aneiai iiaeaee?iaaiey
oece/aneeo i?ioeannia a neiaeiuo iaeanoyo n oiieeie aeeth/aieyie.
Iieo/aiu i?eaeiaeueiua iaiauaiiua iinoaiiaee caaea/ n ?ac?uaiuie
?aoaieyie e ?ac?uaiuie iioieaie, iieacaii nouanoaiaaiea e
aaeeinoaaiiinoue iaiauaiiuo ?aoaiee. I?aaeeiaeaiu e oai?aoe/anee
iainiiaaiu aunieioi/iua noaiu iaoiaea eiia/iuo yeaiaioia aeey ?aoaiey
caaea/ n ?ac?uaiuie ?aoaieyie e ?ac?uaiuie iioieaie. ?anniio?aiu aii?inu
i?ia?aiiiie ?aaeecaoeee au/eneeoaeueiuo aeai?eoiia a ?aieao nenoaiu
NA?IIE e iiauoaiey yooaeoeaiinoe nenoai eiia/ii-yeaiaioiiai ?an/aoa
?ac?uaiuo iieae.
Eeth/aaua neiaa : iaoaiaoe/aneia iiaeaee?iaaiea, caaea/e n ?ac?uaiuie
?aoaieyie e ?ac?uaiuie iioieaie, iaiauaiiua caaea/e, iaoiae eiia/iuo
yeaiaioia, i?ia?aiiiay ?aaeecaoeey.
DIANOVA Tatyana Vladimirovna. Mathematical simulation of the processes
at the fractured domains. – Manuscript.
Thesis for a Dr. Philosophy by the speciality 01.05.02 – mathematical
modelling and numerical methods. – V. M. Glushkov Institute of
Cybernetics, NAS of Ukraine, Kyiv, 1998.
Actual problems related to mathematical modeling of the physical
processes in complex domains with thin inclusions are considered. It is
obtained the original generalized settings of the tasks with
discontinuous solutions and streams; the existence and uniqueness of
generalized solutions is shown. High-precision systems of the
finite-element method capable for solving tasks with discontinuous
solutions and streams are proposed and theoretically substantiated. Some
issues connected with program realization of computing algorithms within
the framework of the system SARPOK and efficiency increasing of
finite-element systems for calculation of discontinuous fields are
considered.
Key words: mathematical modeling, tasks with discontinues solutions and
streams, generalized tasks, finite-element method, program realization.
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