.

Різницеві схеми на неортогональних шаблонах для рівняння гіперболічного типу: Автореф. дис… канд. фіз.-мат. наук / М.Є. Бистрицький, Ін-т кібернетик

Язык: украинский
Формат: реферат
Тип документа: Word Doc
155 2169
Скачать документ

2

?INOEOOO E?AA?IAOEEE ?IAI? A.I.AEOOEIAA IAOe?IIAEUeII? AEAAeAI?? IAOE
OE?A?IE

Aeno?eoeueeee Iaenei ?aaaiiae/

OAeE 519.63

??cieoeaa? noaiE ia IAI?OIAIIAEUeIEO oaaeiiao aeey ??aiyiiy
a?ia?aie?/iiai oeio

01.01.07 — ia/enethaaeueia iaoaiaoeea

AAOI?AOA?AO

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa
o?ceei-iaoaiaoe/ieo iaoe

Ee?a — 1999

Aeena?oaoe??th ? ?oeiien

?iaioa aeeiiaia a Ee?anueeiio oi?aa?neoao? ?iai? Oa?ana Oaa/aiea

Iaoeiaee ea??aiee: eaiaeeaeao o?ceei-iaoaiaoe/ieo iaoe, aeioeaio
Iineaeueeia Ieoaeei Ieeieaeiae/, Ee?anueeee oi?aa?neoao ?iai? Oa?ana
Oaa/aiea

Io?oe?ei? iiiiaioe:

aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani? I?eeac/eeia A?eoi?
Aai?a??ae/, Ee?anueeee oi?aa?neoao ?iai? Oa?ana Oaa/aiea, i?ioani?;

aeieoi? o?ceei-iaoaiaoe/ieo iaoe, Iaea?aiei Ieaenaiae? Na?a?eiae/,
?inoeooo i?eeeaaeiiai oa nenoaiiiai aiae?co, i?ioani?

I?ia?aeia onoaiiaa:

Euea?anueeee aea?aeaaiee oi?aa?neoao ?iai? ?aaia O?aiea, eaoaae?a
?ioi?iaoe?eieo nenoai, i.Euea?a.

Caoeno a?aeaoaeaoueny “ 14 ” o?aaiy 1999 ?. ia 1100 aiaeei? ia
can?aeaii? niaoe?ae?ciaaii? a/aii? ?aaee Ae 26.194.01 i?e ?inoeooo?
e?aa?iaoeee ?iai? A.I.Aeooeiaa IAI Oe?a?ie, 252022, Ee?a-22, i?iniaeo
Aeaaeai?ea Aeooeiaa, 40.

C aeena?oaoe??th iiaeia iciaeiieoeny o a?ae?ioaoe? ?inoeoooo e?aa?iaoeee
?iai? A.I.Aeooeiaa IAI Oe?a?ie, i?iniaeo aeaaeai?ea Aeooeiaa, 40.

Aaoi?aoa?ao ?ic?neaii “ 14 ” ea?oiy 1999 ?.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee
Ii?na?iei A.A.

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue oaie. Caaea/?, ui a?aeiinyoueny aei ??aiyiue
a?ia?aie?/iiai oeio ae?oaiai ii?yaeeo, aeieeathoue o ??cieo i?eeeaaeieo
iaeanoyo, cie?aia a caaea/ao aeonoeee, aeaeo?iaeeiai?ee, aeeiai?/ii?
oai??? i?oaeiino? oiui. Iae/ano?oa i?e ?o ?ica’ycoaaii? aeei?enoiaothoue
iaoiae ne?i/aiieo ??cieoeue. Ca oeei iaoiaeii aeo?aeio aeeoa?aioe?aeueio
caaea/o o /anoeiieo iio?aeieo cai?iththoue a?aeiia?aeiith ??cieoeaaith
noaiith, ui ? nenoaiith ne?i/aiii? e?eueeino? aeaaa?a?/ieo ??aiyiue.
Oiaoi aeey ?ica’ycaiiy iaia?a?aii? caaea/? aoaeothoue aeene?aoio
iiaeaeue, oa?aeoa? iiaaae?iee yei? iienothoue ??cieoeaa? ??aiyiiy.
I/aaeaeii, aoaeue-yea aeene?aoia iiaeaeue ia oioiaeia aeo?aei?e
iaia?a?ai?e caaea/?.

Iniaeea?noth iaaeeaeaieo iaoiae?a ? oa, ui eiaeiiio ??aiyiith iiaeia
iinoaaeoe o a?aeiia?aei?noue aaeeeo e?euee?noue ??cieoeaaeo
ai?ieneiaoe?e, ui iathoue iaeaea iaeiaeia? oa?aeoa?enoeee. Oiio
iiaoaeiaa ??cieoeaaeo noai, aeanoeaino? yeeo yeiaeiiai?oa
a?aeiia?aeathoue aeo?aei?e aeeoa?aioe?aeuei?e caaea/?, — nooue ?
i?aaeiao iaoiaeo ne?i/aiieo ??cieoeue, a ?icaeoie oai??? ??cieoeaaeo
noai i?e?iaeii ooeathoue o iie?auaii? ii?yaeeo ai?ieneiaoe??, a oaeiae o
ciaioaii? e?eueeino? a?eoiaoe/ieo iia?aoe?e aeey ciaoiaeaeaiiy
?ica’yce?a. ?ioeie neiaaie, ??cieoeaaa noaia iiaeiia yeiiiaa e?aua
iiaeaethaaoe aeanoeaino? aeo?aeiiai aeeoa?aioe?aeueiiai ??aiyiiy, aei
oiai ae e?euee?noue a?eoiaoe/ieo ae?e, iaiao?aeieo aeey ciaoiaeaeaiiy
?ica’yceo, ia? aooe ii iiaeeeaino? i?iii?oe?eia e?eueeino? aoce?a n?oee.

Iiaoaeiaa ??cieoeaaeo noai aeey ??aiyiue o /anoeiieo iio?aeieo c
ocaaaeueiaieie ?ica’yceaie, oaeaee?noue ca?aeiino? yeeo ocaiaeaeaia c
aeaaee?noth oeeo ?ica’yce?a, i?eaa?oa? nueiaiaei? iniaeeao oai?aoe/io
oaaao. sse cacia/a?oueny aai i?eeia?oueny ca i/aaeaeia o eiaei?e ?iaio?
c /enaeueieo iaoiae?a, iniiaiei ieoaiiyi aeey oai??? oa i?aeoeee
iaaeeaeaieo iaoiae?a ? ieoaiiy oi/iino? ?ica’yceo. Aeine?aeaeaiiy caaea/
c iaaeaaeeeie ?ica’yceaie aeey ??aiyiue a?ia?aie?/iiai oeio iio?aaothoue
iniaeeai? oaaae /a?ac oa, ui iaaeaaeeino? na?aaeiaeua aeey oaeeo
??aiyiue ia cieeathoue c /anii. I?iaeaia ocaaaeueith?oueny oaeei /eiii:
ye iie?aueoe oi/i?noue iaaeeaeaiiiai iaoiaeo, ia ca?eueooth/e i?e
oeueiio ia?aceoe/ieo inoeeeyoe?e, ye? c’yaeythoueny i?e ia?aoiae? ia
eiaeiee ianooiiee y?on. Oea yaeua aeieea?, eiee ?ica’ycie iaaeaaeeee,
ia? ?ic?eae oa iniaeea? oi/ee (iayai? ceiioeaio?iaai? ciai?oi? neee,
oi/eia? aeaea?aea oiui). I?e/eia oaeeo inoeeeyoe?e — aeenia?n?y
??cieoeaai? noaie ii a?aeiioaiith aei aeeoa?aioe?aeueii? caaea/?, oiaoi
a?aei?ii?noue (a?aenoaaaiiy aai aeia?aaeaeaiiy) oaciai? oaeaeeino?
n?oeiaeo aa?iii?e a?ae aa?iii?e aeeoa?aioe?aeueieo. Ca?aene ynii, yeith
aaaeeeaith ? iiaoaeiaa oaeeo noai aeey ?ica’ycoaaiiy a?ia?aie?/ieo
??aiyiue, aea a?aoiaai? aeenia?n?ei? aeanoeaino? iaia?a?aii? iiaeae? ?,
iiaeeeai, aei i?i?ioio caaaeaiee niioai?thth/ee aieea oeeo aeanoeainoae.

Noai i?iaeaie. Ia?oeie ?iaioaie, o yeeo aoei a?aei?/aii ca’ycie i?ae
aeenia?n??th ??cieoeaaeo noai oa ao?aoith oi/iino? ?ica’yce?a ??aiyiue
a?ia?aie?/iiai oeio, aoee ?iaioe E.?iaa?oa (K.Robert), A.Aaena (W.Weiss)
(1966) oa Aeae.O?iiia (J.Fromm) (1968). Aiie aeine?aeaeoaaee aeenia?n?th
aeey ??cieo ??cieoeaaeo noai, ui ai?ieneiothoue a?ia?aie?/ia ??aiyiiy
ia?oiai ii?yaeeo. Iaaeae? ia ?nioaaiiy aeenia?n?? aeey iaeiiaei??ieo
??aiyiue aeacoaaeiny a ?iaioao N.I?ca?a (S.Orzag), ?.*eia (R.Chin).
Ca’ycie inoeeeyoe?e n?oeiaeo ?ica’yce?a c aeenia?n??th aa?iii?e
??cieoeaai? noaie aeey iaeiiaei??ieo a?ia?aie?/ieo ??aiyiue ye ia?oiai,
oae ? ae?oaiai ii?yaeeo, aoa iieacaiee I.I.Iineaeueeiaei. Aeenia?n?eiee
aiae?c aeey ??cieo caaea/ iaoaiaoe/ii? o?ceee: ??aiyiue aaciai?
aeeiai?ee, ??aiyiiy ia?aiina, ??aiyiiy aeonoeee, — i?iaiaeeany iaaeae?
??cieie aaoi?aie. I?iaeaie, ca’ycai? c ?nioaaiiyi aeenia?n??, ca
aeiiiiiaith iaoiaeo aeeoa?aioe?aeueieo iaaeeaeaiue ?icaeyaeaeeny
TH.?.Oie?iei, N.A.Iiiiaei oa TH.I.Iiiiaei.

A caaaeaieo ?iaioao i?iiiioaaeeny ??ci? iaoiaee ai?ioueae c iane?aeeaie
aeenia?n?? — ia?aceoe/ieie inoeeeyoe?yie ?ica’yce?a a?ia?aie?/ieo
??aiyiue. Iaeei c ieo — aaaaeaiiy a ??aiyiiy oae caaii? ooo/ii?
a’yceino?. Iaeiae, oea ia caaaeaee caaeia?eueii: ao?a/a?oueny ni?aaaei?e
i?io?eue ?ica’yceo oa oneeaaeiththoueny aeai?eoie, iniaeeai, eiee
iaiao?aeii i?aoethaaoe c aaeeeith e?euee?noth aoce?a n?oee. ?ioeie
iaoiaeaie, ui a?aoiaothoue ?nioaaiiy aeenia?n??, i?iiiio?oueny aaiaeeoe
aeiaeaoeiaee aioeaeenia?n?eiee y?on, aaiaeeoe ooo/io aeenia?n?th aai
?icaeyaeaoe iai?oiaiiaeuei? n?oee ia ieiuei? oa a o?eaei??iiio i?inoi??.

A ?iaioao I.N.Iaea?aiea oa I.I.Iineaeueeiaa (1983) aoei aia?oa
aeiaaaeaii, ui a aeaiaei??iiio aeiaaeeo, aeyaey?oueny, ?nio?
caeaaei?noue aeenia?n?? ??cieoeaai? noaie ia eeoa a?ae iiia?a n?oeiaeo
aa?iii?e, a e a?ae iai?yieo ?ooo oaee?. Iiaeaeueo? ?iaioe o oeueiio
iai?yi? iieacaee, ui iiaeia nooo?ai iie?aueoe aeenia?n?th o caaeaiiio
iai?yieo ?ooo oaee? ca aeiiiiiaith aeai?o ia?aiao??a noaie.

A.E.Iaea?iaei, N.A.Iaea?iaei, I.I.Iineaeueeiaei a ?iaio? 1993 ?ieo aoei
aeacaii, ui o ??cieoeaaeo noai ia i?aaeeueieo o?eeooieo n?oeao
aeenia?n?ei? aeanoeaino? e?au? ca aeenia?n?ei? aeanoeaino? noai ia
cae/aeieo oaaeiiao i?yiieooii? n?oee. Iiynith?oueny oea oei, ui ?nio?
caeaaei?noue i?ae aeaeyaeii oaaeiio oa aeenia?n??th noaie. A?aei?/aeiny,
oaeiae, ui ia i?aaeeuei?e o?eeooi?e n?ooe? iiaeia iiaoaeoaaoe noaie
/aoaa?oiai ii?yaeeo oi/iino? aeey ??aiyiiy Ioanniia.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. I?noeai
aeeiiaiiy ?iaioe ? eaoaae?a /enaeueieo iaoiae?a iaoaiaoe/ii? o?ceee
oaeoeueoaoo e?aa?iaoeee Ee?anueeiai oi?aa?neoaoo, aea i?ioyaii aaaaoueio
?ie?a oeieith A.E.Iaea?iaa i?iaiaeyoueny oai?aoe/i? oa aenia?eiaioaeuei?
aeine?aeaeaiiy c oai??? ??cieoeaaeo noai c ocaaaeueiaieie ?ica’yceaie.

Iaoa ? caaea/? aeine?aeaeaiiy. Iaoith ?iaioe ? iiaoaeiaa oa ?ic?iaea
iaoiae?a ?aae?caoe?? noai ia i?yiieooieo n?oeao aeey aeaiaei??ieo oa
o?eaei??ieo ??aiyiiue a?ia?aie?/iiai oeio, aeenia?n?ei? oa
ai?ieneiaoe?ei? aeanoeaino? yeeo e?au? ca aeanoeaino? aaea a?aeiieo
noai. C oeueiai aeieeaa? iaiao?aei?noue aeiaaaeaiiy oiai, ui oi/i?noue
iiaeo noai ia iaaeaaeeeo ?ica’yceao ia a??oa ca oi/i?noue aaea ?nioth/eo
noai.

Iaoiaeeea aeine?aeaeaiiy. Iaoiaee aeine?aeaeaiiy ai?ieneiaoe??,
no?eeino? oa ca?aeiino? iiaeo noai a?aeiinyoueny aei oai??? ??cieoeaaeo
noai, yea ia nueiaiaei? iaaoea aeiaa?oaiiai aeaeyaeo o ?iaioao
I.A.Naia?nueeiai, A.?.Ia?/oea, ?.Ae.Eaca?iaa, A.E.Iaea?iaa.

Iaoeiaa iiaecia. A aeena?oaoe?ei?e ?iaio? i?iiiio?oueny oa
aeine?aeaeo?oueny iiaee eean ??cieoeaaeo ai?ieneiaoe?e — iia?aoi?e ia
iai?oiaiiaeueieo oaaeiiao i?yiieooii? n?oee. A?eueoa aeece?noue aei eiea
oeeo oaaeii?a iaoiiaeth? e?au? aeenia?n?ei? oa?aeoa?enoeee noai c
iia?aoi?aie, ui aeei?enoiaothoue ?o aeey ai?ieneiaoe?? a?ia?aie?/ieo
??aiyiue.

I?iaaaeaiee iiaiee aiae?c ??cieoeaaeo noai c iia?aoi?ii Eaieana ia
iai?oiaiiaeueiiio naieoi/eiaiio oaaeii? o ieiuei? oa iai?oiaiiaeueiiio
o?eiaaeoeyoeoi/eiaiio oaaeii? o o?eaei??iiio i?inoi??.

Iieacaii, ui aeanoeaino? iia?aoi?a ia naieoi/eiaiio oaaeii? i?yiieooii?
n?oee ia a??o? ca a?aeiia?aei? aeanoeaino? naieoi/eiaiai oaaeiio
o?eeooii? n?oee. A naia, ia naieoi/eiaiio oaaeii? i?yiieooii? n?oee
iiaeia iiaoaeoaaoe noaio c /aoaa?oei ii?yaeeii oi/iino? ca i?inoi?ii
aeey ae?ioe/ieo oa c /aoaa?oei ii?yaeeii oi/iino? ye ca i?inoi?ii oae ?
ca /anii aeey a?ia?aie?/ieo ??aiyiue.

Iieacaii, ui aieiaiee /eai ?iceeaaeo aeenia?n?? ia iai?oiaiiaeueiiio
naieoi/eiaiio oaaeii? i?yiieooii? n?oee ia caeaaeeoue a?ae iai?yieo ?ooo
oaee?.

Aeey noai ia iai?oiaiiaeueiiio naieoi/eiaiio oaaeii? iiaoaeiaai? i?yi?
iaoiaee ciaoiaeaeaiiy ?ica’yceo. Iieacaii, ui ia?ao?ae ia i?yiieooio
n?oeo aeicaiey? iiaoaeoaaoe i?yi? iaoiaee aeey ciaoiaeaeaiiy ?ica’yce?a
ae?ioe/ieo ??aiyiue, ye? o aeaa ?ace aoaeoeai?o? ca iaoiaee ia
neiao?e/i?e o?eeooi?e n?ooe? (?iaioa A.E.Iaea?iaa, N.A.Iaea?iaa,
I.I.Iineaeueeiaa, 1993) oa iathoue iaeiaeiao aoaeoeai?noue c iaoiaeaie
ia ianeiao?e/i?e o?eeooi?e n?ooe? (?iaioe ?.?.Eaii??ia, ?.N.I?eiea?aa,
1982).

Aeey ??cieoeaai? ai?ieneiaoe?? a?ia?aie?/iiiai ??aiyiiy ia i?yiieooi?e
n?ooe?, ia a?aei?io a?ae n?oie o?eeooieo, iiaeeeaa oaeoi?ecaoe?y, yea
aeicaiey? ciaoiaeeoe ?ica’yce? ca e?euee?noue iia?aoe?e, ui i?iii?oe?eia
e?eueeino? aoce?a n?oee.

Aeey ia??iaee/ieo e?aeiaeo oiia cai?iiiiiaaiee iiaee iaoiae
ciaoiaeaeaiiy ?ica’ce?a, iniiaaiee ia aeei?enoaii? aeene?aoieo
ia?aoai?aiue Aa?oe? (Hartley).

Oai?aoe/ia oa i?aeoe/ia oe?ii?noue ?iaioe. ?acoeueoaoe, io?eiai? a
aeena?oaoe?eiiio aeine?aeaeaii?, iiaeooue aooe aeei?enoai? i?e
?ica’ycoaaii? oe?ieiai eeano i?aeoe/ieo caaea/, ye? caiaeyoueny aei
??aiyiue ae?ioe/iiai oa a?ia?aie?/iiai oei?a: caaea/ aeonoeee,
aeaeo?iaeeiai?ee, oai??? ia?aiino oiui.

Iniaenoee aianie caeiaoaa/a. An? ?acoeueoaoe, ui neeaaeathoue iniiaiee
ci?no aeena?oaoe?eii? ?iaioe, io?eiai? aaoi?ii naiino?eii. A
ioae?eaoe??, ui iaienaia a ni?aaaoi?noa?, aeena?oaioo iaeaaeeoue iaoiae
iiaoaeiae ??cieoeaai? noaie.

Ai?iaaoe?y ?acoeueoao?a ?iaioe. Iniiai? ?acoeueoaoe aeiiia?aeaeeny ia
eaoaae?? /enaeueieo iaoiae?a iaoaiaoe/ii? o?ceee Ee?anueeiai
oi?aa?neoaoo ?iai? Oa?ana Oaa/aiea oa ia iaaeaeoia?iaei?e eiioa?aioe??
“?ioi?iaoeea, ia/enethaaeueia oa i?eeeaaeia iaoaiaoeea. Oai??y,
canoinoaaiiy, ia?niaeoeae” (INAMTAP’96, Ee?a, 1996).

Ioae?eaoe??. Iniiai? iieiaeaiiy aeena?oaoe?? aeeeaaeai? o /ioe?ueio
noaooyo [1–4].

No?oeoo?a oa ianya ?iaioe. ?iaioa ianyaii 137 noi??iie, neeaaea?oueny ?c
anooio, o?ueio ?icae?e?a, naie ia?aa?ao?a oa nieneo aeei?enoaieo
aeaea?ae c 71 iaeiaioaaiiy. I?noeoue 21 ?enoiie oa 7 oaaeeoeue.

Ci?no aeena?oaoe?eii? ?iaioe.

A aeena?oaoe?ei?e ?iaio? ia i?yiieooi?e n?ooe? (ia ieiuei? oa o
o?eaei??iiio i?inoi??) i?iiiio?oueny aoaeoaaoe oaaeiie, oi?ia yeeo
aeecueea aei eiea (noa?e), i?e?iaeii? oi?ie oaciai? oaeaeeino?
aeeoa?aioe?aeueieo caaea/. I?iiiio?oueny aoaeoaaoe iai?oiaiiaeuei?
oaaeiie, oiaoi oae?, a yeeo a?aenooi?e iaeei c iai?yie?a inae
eii?aeeiao. Iaeoa?aeoa?i?oee c oaeeo oaaeii?a — iai?oiaiiaeueiee
naieoi/eiaee oaaeii i?yiieooii? n?oee — caeia? aieiaia i?noea
aeine?aeaeaiiy. Iaeiei c e?eoa???a aeai?o i?yiieooii? n?oee cai?noue
iai?oiaiiaeueii? (neaae?ii, o?eeooii?) ? iioea ni?iuaiiy aeai?eoi?a
ciaoiaeaeaiiy ?ica’yceo, i?aaenoaaeaiiai o aoceao n?oee.

O ?icae?e? ? (§§1–3) i?iiiio?oueny iaoiae iiaoaeiae ??cieoeaai?
ai?ieneiaoe?? iia?aoi?a Eaieana, iniiaaiee ia caaaeaii? iio?aeieo ca
ci?iieie aei iio?aeieo ca aaaaeaieie iai?yieaie, a oaeiae
aeine?aeaeothoueny niaeo?aeuei? aeanoeaino? aeaio aaaeeeaeo aeiaaee?a:
iai?oiaiiaeueiee naieoi/eiaee oaaeii ia ieiuei? oa iai?oiaiiaeueiee
o?eiaaeoeyoeoi/eiaee oaaeii o o?eaei??iiio i?inoi??.

O §2 aeeeaaeaiee iaoiae iiaoaeiae ??cieoeaai? ai?ieneiaoe?? iia?aoi?a
Eaieana ia iai?oiaiiaeueieo oaaeiiao aeei?enoiao? cae/aei? i?yiieooi?
n?oee. Nooue iaoiaeo iieyaa? o oiio, ui ia i?yiieooi?e n?ooe?
caaeathoueny iaai? iai?yiee, e?euee?noue yeeo a?eueoa ca e?euee?noue
inae eii?aeeiao.

Iieeaaeaii, ui iaeanoue wmetafile8? ??O???K????????
???????????yyy???? ???????.????1?????????????
 ???&??yyyy?????AyYy`A???&??MathType??P????
???????u?th?????? wmetafile8? ??ae???K????????
???????????yyy???? ???????.????1?????????????
A@???&??yyyy?????Ay?y?z???&??MathType???
???u?????????”????-?????]m???]ss???]R???]Ae ???
???????u?th??????Aeey iiaoaeiae ??cieoeaai? ai?ieneiaoe?? iia?aoi?a
(1) caaeaii ia iaeano? wmetafile8? ??o????+????????
???????????yyy???? ???????.????1?????????????
`A???&??yyyy?????Ay?y????&??MathType??P?
???u?????????”????-?????^?@????^?M??? ???????u?th??????
wmetafile8? ?????»???????? ???????????yyy????
???????.????1?????????????A ‘???&??yyyy?????Ay?ya&j
???&??MathType????
???u?????????”????-?????A?@????A?????^?oe???^?0???
???????u?th??????Aaaaeaii a iaeano? 2n+2 iai?yiee ca e?i?yie
wmetafile8? ??A???K???????? ???????????yyy????
???????.????1??????????????A ???&??yyyy?????AyYy? %
???&??MathType??????? ???????u?th??????Aeeoa?aioe?aeueiee
iia?aoi? Eaieana o iio?aeieo ca ci?iieie caiaeeoueny aei iaaiiai
iia?aoi?a o iio?aeieo ca aaaaeaiieie iai?yieaie.

Nei?enoaaoenue oi?ioeith wmetafile8? ??$???k????????
???????????yyy???? ???????.????1?????????????
@????&??yyyy?????Ay1/4y@ue???&??MathType????
???u?????????”????-?????y@????ye???y†???y±???y
????ye???yO ???y7???yv???y???
???????u?th??????caaaeaii iio?aei? ca ci?iieie a iia?aoi?? (1) aei
iio?aeieo ca aaaaeaieie iai?yieaie. Aeey oeueiai caieoaii e?i?eio
eiia?iaoe?th

wmetafile8? ?????E???????? ???????????yyy????
???????.????1????????????? ????&??yyyy?????AyFyA C
???&??MathType??0 ???u?????????”????-?????Y ???Y?
???Y???Y¶???Ysseui eiao?oe??ioe wmetafile8?
??O???????????? ???????????yyy????
???????.????1????????????? ???&??yyyy?????AyYyaA
???&??MathType??P???? ???????u?th?????? wmetafile8?
?????»???????? ???????????yyy????
???????.????1??????????????A???&??yyyy?????Ay?y??
???&??MathType??P ???u?????????”????-?????¬c
???¬¤???Q9???Qoe??? ???????u?th??????oi iiaeia
noaa?aeaeoaaoe, ui wmetafile8? ??h???+????????
???????????yyy???? ???????.????1?????????????
`a???&??yyyy?????AyYy ???&??MathType??p????
???????u?th??????Ca icia/aiiyie aaiaeyoueny ??cieoeaa? iio?aei? ca
eiaeiei iai?yieii:

wmetafile8? ????????????? ???????????yyy????
???????.????1?????????????@A???&??yyyy?????Ay?y?o
???&??MathType???? ???u?????????”????-?????y???y“???
???????u?th??????Ca aeiiiiiaith ?ioa??aeueieo iia?aoi??a ona?aaeiaiiy
ca eiaeiei c iai?yie?a aoaeo?ii ??cieoeaaee iia?aoi? Eaieana.

wmetafile8? ??^???E???????? ???????????yyy????
???????.????1??????????????? ???&??yyyy?????Ay?yA?
???&??MathType?? ???u?????????”????-?????•????•‰
???u?????????”????-??????????
?????????2???-???????????????-?????????
????-???????????c???-?????9 ????? ???
???????u?th??????aea wmetafile8? ??Q???;????????
???????????yyy???? ???????.????1?????????????
@`???&??yyyy?????Ay?y o???&??MathType??P?
???u?????????”????-?????U?a????U?K???
???????u?th??????wmetafile8? ??0??????????????????????
o?&??????C
?I???o?&????o?&????(???&??o??????????%??;??8????????????yyy?yyy
nyyyyyyth?yyyyyy

?en. 1.

Ca iiaoaeiaith oaea ai?ieneiaoe?y iaaeeaea? aeeoa?aioe?aeueiee iia?aoi?
c ae?oaei ii?yaeeii. Aeey ciaioaiiy e?eueeino? iai?yie?a ?icaeyaeathouey
eeoa iai?oiaiiaeuei? oaaeiie — a?aenooi?e iaeei c iai?yie?a, ui
ca?aathoueny c inyie eii?aeeiao. sse aeey ieiueie, oae ? aeey
o?eaei??iiai i?inoi?o iiaoaeiaaii iniiai? ??cieoeaa? iia?aoi?e ia oaeeo
oaaeiiao. Neaae?ii, aeey o?ueio iai?yie?a ie iaea?aeo?ii iia?aoi? 7y ia
iai?oiaiiaeueiiio naieoi/eiaiio oaaeii? (?en. 1):

wmetafile8? ??’???u????????
???????????yyy???? ???????.????1?????????????A `
???&??yyyy?????Ay§y g ???&??MathType??@
???u?????????”????-?????•i???•q???•a
???•g???FJ???FI??? ???????u?th??????Aeey a?aooaaiiy
aeaeyaeo ??cieoeaaiai iia?aoi?a o i?ea?aie/ieo aoceao iaiao?aeii
i?iaeiaaeeoe iaeanoue iiacaeiaae a?aieoe?. Oae, aeey iaeii??aeii?
caaea/? Ae???oea canoiniao?oueny iaia?ia i?iaeiaaeaiiy. Neaae?ii, aeey
i?iaeiaaeaiiy iiacaeiaae e?ao a?aieoeth aeei?enoa?ii i?iaeiaaeaiiy
u(–x1, x2)=–u(x1, x2).

I?eeeaaeii ??cieoeaaiai iia?aoi?a o o?eaei??iiio i?inoi?? iiaea
neoaoaaoe iia?aoi? ia iai?oiaiiaeueiiio o?eiaaeoeyoeoi/eiaiio oaaeii?

wmetafile8? ??????e???????? ???????????yyy????
???????.????1?????????????``.???&??yyyy?????Ay?y .
???&??MathType???
???u?????????”????-?????y1/2???yB??? ???????u?th??????
wmetafile8? ??›???e???????? ???????????yyy????
???????.????1?????????????? &???&??yyyy?????Ay?y`&?
???&??MathType?? ???u?????????”????-?????/???|
???i???r??? ???????u?th??????wmetafile8?
?????»???????? ???????????yyy????
???????.????1???????????????

???&??yyyy?????Ay?y@

????&??MathType??
???u?????????”????-?????ss???d???O???Z???
???????u?th??????Oeae oaaeii i?e wmetafile8? ??e???;????????
???????????yyy???? ???????.????1?????????????`?
???&??yyyy?????AyµyA???&??MathType??P?
???u?????????”????-?????e-???I^ ???u??
???????”????-????Q^????Y???-?????????S????S?
???S?o???eA???Io???-????Qo????:???-?????
?B???S? ???S? ???S?? ??? ???????u?th??????A?eueoa
aeece?noue oaaeii?a aei eiea caaacia/o? oaeei iia?aoi?ai e?au?
aeenia?n?ei? aeanoeaino?, ii??aiyii ?c cae/aeieie ??cieoeaaeie
iia?aoi?aie.

A §3 aeaoaeueii aeine?aeaeothoueny niaeo?aeuei? aeanoeaino? ??cieoeaaiai
iia?aoi?a wmetafile8? ??????????????? ???????????yyy????
???????.????1????????????? @???&??yyyy?????AyYy?A
???&??MathType??P???? ???????u?th???????icaeyiaii ??cieoeaao
caaea/o ia aeani? cia/aiiy

wmetafile8? ??A???;???????? ???????????yyy????
???????.????1????????????? ???&??yyyy?????AyYyaA
???&??MathType??P???? ???????u?th?????? wmetafile8?
?????+???????? ???????????yyy????
???????.????1??????????????A???&??yyyy?????AyAy?A
???&??MathType??P? ???u?????????”????-?????c?A ???c?A???
???????u?th?????? wmetafile8? ??r???k????????
???????????yyy???? ???????.????1?????????????
?????&??yyyy?????AyYy@%???&??MathType???????
???????u?th??????Aecia/eii i?ino?? wmetafile8? ??i????+????????
???????????yyy???? ???????.????1?????????????
?A???&??yyyy?????AyYy?%???&??MathType??P????
???????u?th?????? wmetafile8? ??a???????????
???????????yyy???? ???????.????1?????????????
?A???&??yyyy?????AyFy?#???&??MathType??0???
???????u?th??????O oeueiio ia?aa?ao? ciaeaeaii yaiee aeaeyae aeanieo
ooieoe?e oa aeanieo cia/aiue oeueiai iia?aoi?a. Iaea?aeaii ioe?iee
iaeneiaeueiiai oa i?i?iaeueiiai aeanieo cia/aiue.

Oaa?aeaeaiiy 3.1. O i?inoi?? wmetafile8? ?????+????????
???????????yyy???? ???????.????1?????????????
?A???&??yyyy?????AyYy?%???&??MathType??P????
???????u?th??????Oaa?aeaeaiiy 3.2. ?ica’yceii caaea/? (9)–(10) ?
aeani? ooieoe??

wmetafile8? ??V???k???????? ???????????yyy????
???????.????1?????????????? ???&??yyyy?????Ay«y`+
???&??MathType??P???? ???????u?th??????? a?aeiia?aei? ?i aeani?
cia/aiiy

wmetafile8? ?? ??????????? ???????????yyy????
???????.????1?????????????? ???&??yyyy?????Ay?ya?
???&??MathType??
???u?????????”????-?????A?????????????
???????u?th?????? wmetafile8? ??L???›????????
???????????yyy???? ???????.????1?????????????
? ???&??yyyy?????Ay1/4y`???&??MathType??? ???u?????????"????-?????J??????™???t??? ‹???d??? ???????u?th??????wmetafile8? ??*???[???????? ???????????yyy???? ???????.????1????????????? `A???&??yyyy?????Ay?y????&??MathType??P? ???u?????????"????-?????^????^?‡???^?u???^???? ???????u?th??????Oaa?aeaeaiiy 3.3. Aeey aeanieo cia/aiue iia?aoi?a wmetafile8? ??????????????? ???????????yyy???? ???????.????1????????????? @???&??yyyy?????AyYy?A ???&??MathType??P???? ???????u?th??????wmetafile8? ??“???U???????? ???????????yyy???? ???????.????1???????????????+???&??yyyy?????Ay?yA*? ???&??MathType?? ???u?????????"????-?????_??? ???aeeiiothoueny ioe?iee (i?e wmetafile8? ?????+???????? ???????????yyy???? ???????.????1????????????? A???&??yyyy?????AyYy?A???&??MathType??P???? ???????u?th??????wmetafile8? ??»???k???????? ???????????yyy???? ???????.????1????????????? ?a???&??yyyy?????Ay?y ????&??MathType?? ???u?????????"????-?????B???y ???a???  ?????????? ???????u?th?????? a) wmetafile8? ??µ???k???????? ???????????yyy???? ???????.????1?????????????`????&??yyyy?????Ay1/4yA ???&??MathType??? ???u?????????"????-?????y@????yss???w???e? ???u?? ???????"????-????n????pi???-?????p/???o?U???o ?U???o????yJ???y???yz???y7??? ???????u?th??????oa wmetafile8? ??+???+???????? ???????????yyy???? ???????.????1?????????????  ???&??yyyy?????AyYy`A???&??MathType??P???? ???????u?th??????Aeine?aeaeaii aeenia?n?ei? aeanoeaino? yaii? ??cieoeaai? noaie aeey aeaiaei??iiai oaeeueiaiai ??aiyiiy, ui aeei?enoiao? ai?ieneiaoe?th iia?aoi?a Eaieana ia naieoi/eiaiio oaaeii?. wmetafile8? ?????K???????? ???????????yyy???? ???????.????1?????????????@????&??yyyy?????AyYyAa ???&??MathType??`? ???u?????????"????-???????????? ???????u?th?????? wmetafile8? ?????+???????? ???????????yyy???? ???????.????1????????????? ?A???&??yyyy?????AyAy?A???&??MathType??P? ???u?????????"????-?????c?A ???c?A??? ???????u?th?????? wmetafile8? ??r???k???????? ???????????yyy???? ???????.????1??????????????????&??yyyy?????AyYy@% ???&??MathType??????? ???????u?th?????? wmetafile8? ??A???k???????? ???????????yyy???? ???????.????1?????????????aA???&??yyyy?????Ay?y?? ???&??MathType??A? ???u?????????"????-?????y???y???cZ???cY??? ???????u?th??????Oiiaa no?eeino? oe??? noaie aoaea: wmetafile8? ??i???«???????? ???????????yyy???? ???????.????1?????????????? `???&??yyyy?????Ay?y ? ???&??MathType?? ???u?????????"????-?????+y???+???W°???;a ???u?? ???????"????-????Ca???U(???-?????U0???!? ???!????!????m???m????mue ???m› ???u3???Yd???-????ad???a«???-?????a????c ???c???cU??? ???????u?th??????Oiaoi, aeey oaeeo noai iiaeia aeae?aoe a?eueo aaeeeee e?ie ca /anii, i?ae aeey noai ia cae/aeieo oaaeiiao. Ooea?ii ?ica’ycie o aeaeyae? n?oeiaeo aa?iii?e wmetafile8? ??!???;???????? ???????????yyy???? ???????.????1?????????????? ???&??yyyy?????Ay§y`' ???&??MathType??P???? ???????u?th?????? wmetafile8? ??????e???????? ???????????yyy???? ???????.????1???????????????(???&??yyyy?????Ay?y@(? ???&??MathType?? ???u?????????"????-?????uN????uo????k???????% ???ue???U ???/??? ???o???e???????*?????? ???????u?th??????Iieacaii, ui aeanoeaino? iia?aoi?a Eaieana ia naieoi/eiaiio iai?oiaiiaeueiiio oaaeii? i?yiieooii? n?oee ia a??o? ca aeanoeaino? iia?aoi?a ia aiaeia?/iiio oaaeii? o?eeooii? n?oee. Oiaoi iiaoaeiaai? ia i?yiieooi?e oa ia o?eeooi?e n?ooe? noaie, iathoue iaeiaeia? aeenia?n?ei? aeanoeaino?, ye? e?au? ca aeanoeaino? noai ia cae/aeieo i?oiaiiaeueieo oaaeiiao i?yiieooii? n?oee. Aei oiai ae ia i?yiieooi?e n?ooe? iiaeia iiaoaeoaaoe noaie /aoaa?oiai ii?yaeeo oi/iino?, aeei?enoiaoth/e iai?oiaiiaeueiee naieoi/eiaee oaaeii, cai?noue aeaa’yoeoi/eiaiai oaaeiio noaie i?aeaeuaiiai ii?yaeeo oi/iino?. O oeueiio ae ia?aa?ao? aeine?aeaeothoueny niaeo?aeuei? aeanoeaino? ??cieoeaaiai iia?aoi?a Eaieana ia iai?oiaiiaeueiiio o?eiaaeoeyoeoi/eiaiio oaaeii? o o?eaei??iiio i?inoi??. Caieoaii aeey o?eaei??iiai aeiaaeeo ??cieoeaao caaea/o ia aeani? cia/aiiy: wmetafile8? ??I???;???????? ???????????yyy???? ???????.????1????????????? a???&??yyyy?????AyYy A ???&??MathType??P???? ???????u?th?????? wmetafile8? ?????+???????? ???????????yyy???? ???????.????1??????????????A???&??yyyy?????AyAy?A ???&??MathType??P? ???u?????????"????-?????c?A ???c?A??? ???????u?th??????C?icoi?ei, ui aeey ia?oi? e?aeiai? caaea/? iathoue aeeiioaaoeny oiiae iaia?iiai i?iaeiaaeaiiy ca a?aieoe? iaeano? ca iai?yieaie x1 oa x2. Aeey iia?aoi?a Eaieana ia oaeiio oaaeii? iaea?aeaiee yaiee aeaeyae aeanieo cia/aiue oa ciaeaeaii ?o iaeneiaeueia oa i?i?iaeueia cia/aiiy. Oaa?aeaeaiiy 3.7. ?ica’yceii caaea/? (19)–(20) ? aeani? ooieoe?? wmetafile8? ?????›???????? ???????????yyy???? ???????.????1??????????????? ???&??yyyy?????Ay«y@ + ???&??MathType??P???? ???????u?th??????? a?aeiia?aei? ?i aeani? cia/aiiy wmetafile8? ??c???E???????? ???????????yyy???? ???????.????1?????????????? "???&??yyyy?????Ay?ya!? ???&??MathType?? ???u?????????"????-?????I???‰???u ???· ???wmetafile8? ?????[??????? ???????????yyy???? ???????.????1?????????????? ?$???&??yyyy?????Ay¶yA#¶ ???&??MathType?? ???u?????????"????-?????#J???#???#™???#????# ????#‚!???Oc???OI???Oae???OI ??? ???????u?th??????wmetafile8? ??•???k???????? ???????????yyy???? ???????.????1????????????? `????&??yyyy?????Ay?y@???&??MathType??P? ???u?????????"????-?????^????^?‡???^?O ???^?u???^?«???^????? ???????u?th??????Oaa?aeaeaiiy 3.8. Aeey aeanieo cia/aiue wmetafile8? ??N???????????? ???????????yyy???? ???????.????1????????????? ????&??yyyy?????AyYy@A???&??MathType??P???? ???????u?th??????aeeiiothoueny ioe?iee (i?e wmetafile8? ?????;???????? ???????????yyy???? ???????.????1?????????????   ???&??yyyy?????AyYy` A ???&??MathType??P???? ???????u?th??????wmetafile8? ??I???‹???????? ???????????yyy???? ???????.????1?????????????? ???&??yyyy?????Ay?y`? ???&??MathType?? ???u?????????"????-?????B???y ???a???  ??????????????q???ae???!??? ???????u?th??????I?iaaaeaii aiae?c aeenia?n?? n?oeiaeo aa?iii?e iayaii? noaie aeey a?ia?aie?/iiai ??aiyiiy o o?eaei??iiio i?inoi?? ? ciaeaeaia iioeiaeueia c iiaeyaeo aeenia?n?? cia/aiiy aaaiaiai eiao?oe??ioa. wmetafile8? ??8???K???????? ???????????yyy???? ???????.????1?????????????  ???&??yyyy?????Ay§yaG ???&??MathType??`? ???u?????????"????-?????k???k???? ???????u?th??????wmetafile8? ?????+???????? ???????????yyy???? ???????.????1????????????? ?A???&??yyyy?????AyAy?A???&??MathType??P? ???u?????????"????-?????c?A ???c?A??? ???????u?th?????? wmetafile8? ??h???[???????? ???????????yyy???? ???????.????1?????????????a????&??yyyy?????Ay?yA? ???&??MathType??A? ???u?????????"????-?????ye???yO??? ???????u?th??????aea wmetafile8? ??X???K???????? ???????????yyy???? ???????.????1????????????? ? ???&??yyyy?????Ay§y`'???&??MathType??P???? ???????u?th??????Na?aaeiueieaaae?aoe/ia a?aeoeeaiiy aeenia?n?? i?i?iaeueia i?e wmetafile8? ??r???;???????? ???????????yyy???? ???????.????1?????????????`a ???&??yyyy?????Ay?y  ???&??MathType??? ???u?????????"????-?????y????y4???yY???yIiaeia c?iaeoe aeniiaie: o o?eaei??iiio i?inoi?? aeenia?n?ei? aeanoeaino? noaie c iia?aoi?ii Eaieana ia o?eiaaeoeyoeoi/eiaiio oaaeii? i?yiieooii? n?oee e?aua ca aeanoeaino? noai ia cae/aeieo oaaeiiao. O ?icae?e? ?? (§§4–5) i?iaiaeeony aeine?aeaeaiiy ca?aeiino? ??cieoeaaeo noai ia iai?oiaiiaeueiiio naieoi/eiaiio oaaeii? i?yiieooii? n?oee ia ieiuei? oa iai?oiaiiaeueiiio o?eiaaeoeyoeoi/eiaiio oaaeii? o i?inoi??. O §4 ca aeiiiiiaith aeaiaei??iiai n?oeiaiai ia?aoai?aiiy Oo?’?, eaie A?aiaea-A?eueaa?oa oa n?oeiaiai aiaeiaa oai?aie Ia?oeeieaae/a i?i ioeueoeie?eaoi? anoaiiaeaii ioe?ieo ca?aeiino? ??cieoeaai? noaie ia naieoi/eiaiio oaaeii? aeey ??aiyiiy Ioanniia c e?aeiaeie oiiaaie Ae???oea o ii?i? Lp. A eaaae?ao? wmetafile8? ??b???[???????? ???????????yyy???? ???????.????1????????????? `???&??yyyy?????AyYy A ???&??MathType??P???? ???????u?th?????? wmetafile8? ??u???k???????? ???????????yyy???? ???????.????1?????????????A????&??yyyy?????Ay?yAz ???&??MathType??? ???u?????????"????-?????]m???]ss???]R???]Ae ??? ???????u?th??????u(x)=0, x Caaeaii i?yiieooio n?oeo wmetafile8? ??P???U???????? ???????????yyy???? ???????.????1?????????????? !???&??yyyy?????Ay¬y`!¬ ???&??MathType?? ???u?????????"????-?????A?@????A?????Iiiaeeia aioo??oi?o aoce?a wmetafile8? ??a???????????? ???????????yyy???? ???????.????1??????????????????&??yyyy?????AyAyAA ???&??MathType??P? ???u?????????"????-?????c?‘???c? wmetafile8? ?? y(x)=0, x, (x)=T1T2T3f(x). (29) wmetafile8? ??r???k???????? ???????????yyy???? ???????.????1??????????????a???&??yyyy?????Ay®y ® ???&??MathType????? ???????u?th??????Ooo ? iaaeae? iia?aoi?e wmetafile8? ??O???????????? ???????????yyy???? ???????.????1????????????? ????&??yyyy?????AyYy@A ???&??MathType??P???? ???????u?th??????Aeiaiaeeoueny oai?aia. Oai?aia 4.1. Iaoae ?ica’ycie u(x) caaea/? (26) iaeaaeeoue aei eeano wmetafile8? ??>???+???????? ???????????yyy????
???????.????1?????????????A ???&??yyyy?????Ay§yag
???&??MathType??p???? ???????u?th?????? wmetafile8? ??
max(0, m2) s min(2, m), max(1, 2/m) ? ????????????? ???????????yyy???? ???????.????1?????????????` ???&??yyyy?????Ay?ya ???&??MathType???? ???u?????????"????-?????]@????]›??? ???????u?th?????? wmetafile8? ??G???+???????? ???????????yyy???? ???????.????1????????????? ????&??yyyy?????AyYyAA ???&??MathType??P???? ???????u?th?????? u(x, t)=0, (x, t)ST=x=, t[0, T], (34) aea wmetafile8? ??f???[???????? ???????????yyy???? ???????.????1?????????????@a???&??yyyy?????AyYy a ???&??MathType??`???? ???????u?th??????Aaaaeaii n?oeo wmetafile8? ??c???+???????? ???????????yyy???? ???????.????1?????????????@ ???&??yyyy?????AyYy`a ???&??MathType??`???? ???????u?th??????? cai?ieii caaea/o (32)–(34) ??cieoeaaith noaiith wmetafile8? ??®???[???????? ???????????yyy???? ???????.????1????????????? `???&??yyyy?????Ay«y K ???&??MathType??`? ???u?????????"????-?????k???k???? ???????u?th?????? wmetafile8? ??i??????????? ???????????yyy???? ???????.????1????????????? aA???&??yyyy?????Ay?y?????&??MathType??A? ???u?????????"????-?????th?®???th????th?v???th?c ???ye???yO???th?w???th????? ???????u?th??????y(x)=0, x,wmetafile8? ??r???k???????? ???????????yyy???? ???????.????1????????????? ?A???&??yyyy?????AyYy?%???&??MathType??????? ???????u?th??????aea (x, t)=TxTtf(x, t), wmetafile8? ????????????? ???????????yyy???? ???????.????1?????????????? ???&??yyyy?????Ay«y`+ ???&??MathType??P???? ???????u?th??????wmetafile8? ??a???[???????? ???????????yyy???? ???????.????1?????????????`@???&??yyyy?????Ay°y? ???&??MathType??0 ???u?????????"????-?????»???????????»?H????H????» ?1/4???1/4???»?x???x???»???????»?I??? I???»?N???N???»? wmetafile8? ??E??????????? ???????????yyy???? ???????.????1?????????????  `???&??yyyy?????Ay?y H???&??MathType??p? ???u?????????"????-?????;????;???/????/???O ????O???”????”???)????)???a????a ???AE????AE???‚????‚ ???u?????????"????-????9-???XO??? ???????u?th??????Ooo: wmetafile8? ??b???+???????? ???????????yyy???? ???????.????1????????????? @a???&??yyyy?????Ay?y e???&??MathType??P???? ???????u?th??????Iaea?aeai? ocaiaeaeai? ioe?iee oaeaeeino? ca?aeiino? iaoiaeo n?oie oa iaoiaeo i?yieo. Oai?aia 5.1. Iaoae u(x) W2m(QT), ? aeeiio?oueny oiiaa wmetafile8? ??Ae???;???????? ???????????yyy???? ???????.????1??????????????a???&??yyyy?????Ay?y 8 ???&??MathType?? ???u?????????"????-?????y¦???yX???tA???8A???t ???8???tC???8C???ty ???8y ???yE???yk??? ???????u?th?????? wmetafile8? ??…??????????? ???????????yyy???? ???????.????1?????????????@a???&??yyyy?????Ay°y ? ???&??MathType?? ? ???u?????????"????-?????O???”???»?E???E ???»?AE???AE ???»?=???=???»?u???u???»?m???m???»?)? ??)??? ???????u?th??????k=–1, m=1, 2; k=0, 1, m=wmetafile8? ??A???+???????? ???????????yyy???? ???????.????1?????????????``???&??yyyy?????Ay?y ???&??MathType??P? ???u?????????"????-?????^?@????^???? ???????u?th??????Ciaeaeaii oaeiae aiaeia?/i? ioe?iee aeey noaie ia iai?oiaiiaeueiiio o?eiaaeoeyoeoi/eiaiio oaaeii? o o?eaei??iiio i?inoi??. I?eaaaeaii ioe?ieo aeey noaie i?aeaeuaiiai ii?yaeeo oi/iino? (aiaeia wmetafile8? ??P???+???????? ???????????yyy???? ???????.????1??????????????????&??yyyy?????Ay§yA' ???&??MathType??P???? ???????u?th??????Aeey caaea/? (32)–(34) caieoaii oaeo ??cieoeaao noaio (35)–(37) i?e wmetafile8? ??„???+???????? ???????????yyy???? ???????.????1?????????????`@???&??yyyy?????Ayµy? ???&??MathType??P? ???u?????????"????-?????eC???It ???u?? ???????"????-????Qt????»???-??????A???S?!???S ?!???S?e??? ???????u?th??????Oai?aia 5.2. Iaoae u(x) W2m(QT), ? aeeiio?oueny oiiae wmetafile8? ?? wmetafile8? ?????????????? ???????????yyy???? ???????.????1????????????? @a???&??yyyy?????Ay°y ????&??MathType?? ? ???u?????????"????-?????O???”???»?E???E ???»?AE???AE ???»?/???/???»?e???e???»?_???_???»?? ????? ???????u?th??????aea k=–1, 0, 1, wmetafile8? ?????+???????? ???????????yyy???? ???????.????1????????????? a ???&??yyyy?????AyAy  e ???&??MathType?? ???? ???????u?th??????I?ioa, ia o?aaa caaoaaoe, ui aeai?eoie ciaoiaeaeaiiy ?ica’yceo caaea/ ca aeiiiiiaith ??cieoeaaeo noai iio?aaothoue ii?aeiaiiy iaoiae?a iiaoaeiae aeene?aoieo aiaeia?a caaea/ oa iaoiae?a ?o ?ica’ycoaaiiy. Oiio o ?icae?e? ??? (§§6–7) i?iiiio?oueny iaoiae iaiiaii? ?aaeoeoe?? ciaoiaeaeaiiy ?ica’yce?a ??cieoeaaeo caaea/ ia iai?oiaiiaeueiiio naieoi/eiaiio oaaeii?. O §6 iine?aeiaii ?icaeyaeathoueny iaoiaee ciaoiaeaeaiiy ?ica’yce?a ae?ioe/ieo ??aiyiue: ?icaeiaiiy o iiaea?eio noio Oo?’?, iaoiae iaiiaii? ?aaeoeoe?? aeey ??aiyiiy Ioanniia, a oaeiae i?iiiio?oueny iaoiae ciaoiaeaeaiiy ?ica’yce?a ia??iaee/ii? e?aeiai? caaea/?, iniiaaiee ia ia?aoai?aiiyo Aa?oe?. Ia?aoai?aiiy Aa?oe?, oai??y yeiai aeaoaeueii ?ic?iaeaia ?.A?aenaaeeii (R.Bracewell, 1984), iicaaaeaia aeayeeo iaaeie?e?a, aeanoeaeo ia?aoai?aiith Oo?’?. O oie /an eiee ia?aoai?aiiy Oo?’? a?aeia?aaeathoue ae?eni? ooieoe?? o eiiieaenio ieiueio oa ianeiao?e/i? ca i=wmetafile8? ????????????? ???????????yyy???? ???????.????1????????????? ????&??yyyy?????AyµyAO???&??MathType??0? ???u?????????"????-?????eH????Iy? ???u?? ???????"????-????Qy?????A????-??????E????S?&???S ?&???S????? ???????u?th??????O oeueiio ia?aa?ao? iaoiae iaiiaii? ?aaeoeoe?? aaeaioo?oueny aeey ciaoiaeaeaiiy ?ica’yce?a iayaii? ??cieoeaai? noaie aeey ??aiyiiy a?ia?aie?/iiai oeio. Aeyaeaii, ui ia?ao?ae ia i?yiieooio n?oeo aeicaiey? aac iia??oaiiy aeenia?n?eieo aeanoeainoae iiaoaeoaaoe i?yi? aeai?eoie ciaoiaeaeaiiy ?ica’yce?a. Inoaii? iaeaea o aeaa ?ace aoaeoeai?o? ca aeai?eoie aeey noai ia neiao?e/ieo o?eeooieo n?oeao (?iaioe A.E.Iaea?iaa, N.A.Iaea?iaa, iaoiae Oo?’?) oa iathoue iaeiaeiao aoaeoeai?noue c noaiaie ia ianeiao?e/ieo o?eeooieo n?oeao (?iaioe ?.?.Eaii??ia, ?.N.I?eiea?aa, iaoiae iaiiaii? ?aaeoeoe??). E??i oiai, i?iiiio?oueny oaeoi?ecaoe?y iayaii? noaie ? aeine?aeaeo?oueny ?? no?ee?noue. A?cueiaii ca ?a?oey?ecaoi? cae/aeiee iia?aoi? ia i’yoeoi/eiaiio oaaeii? oeio “o?ano” wmetafile8? ?????[???????? ???????????yyy???? ???????.????1??????????????` ???&??yyyy?????AyYy %???&??MathType???? ???u?? ???????"????-?????.i???.e???.e ???.j??? ???????u?th??????Eaia 6.1. Iia?aoi?e 7 oa 5 aea?aaeaioi?, oiaoi aeeiiothoueny ioe?iee wmetafile8? ??b???;???????? ???????????yyy???? ???????.????1????????????? A ???&??yyyy?????AyYy?A???&??MathType??P???? ???????u?th??????Oaia? aeey ciaoiaeaeaiiy ?ica’yce?a aeeoa?aioe?aeueii? caaea/? (32)-(34) ia?ii noaio i?e =1=2 wmetafile8? ??‰???+???????? ???????????yyy???? ???????.????1?????????????@a ???&??yyyy?????AyYy  a ???&??MathType??`? ???u?????????"????-???????????? ???????u?th??????aea e?aeia? oa ii/aoeia? oiiae (36), (37), wmetafile8? ??L???+???????? ???????????yyy???? ???????.????1??????????????  ???&??yyyy?????Ay§y` ' ???&??MathType??P???? ???????u?th??????aai ca eaiith 6.1: wmetafile8? ??2??????????? ???????????yyy???? ???????.????1?????????????@`???&??yyyy?????Ay?y y ???&??MathType?? ???u?????????"????-?????Cai?ithth/e D oaeoi?eciaaiei iia?aoi?ii, io?eia?ii aeiiii?/io oaeoi?eciaaio caaea/o, yeo iiaeia ?ica’ycoaaoe iaoiaeii i?iaiiee: wmetafile8? ??????;???????? ???????????yyy???? ???????.????1??????????????????&??yyyy?????Ay?yA * ???&??MathType??`? ???u?????????"????-?????^?@????^?X ???u?????????"????-????KT???K¤??? ???????u?th??????wmetafile8? ??L???K???????? ???????????yyy???? ???????.????1????????????? Aa???&??yyyy?????Ay§y g???&??MathType??p? ???u?????????"????-?????~?@????~?X??? ???????u?th??????wmetafile8? ?????????????? ???????????yyy???? ???????.????1????????????? aa???&??yyyy?????Ay?y ????&??MathType??A? ???u?????????"????-?????th?®???th????th?t???th???? ?th?????th?????y???yi???th? y(x)=0, x,wmetafile8? ??r???k???????? ???????????yyy???? ???????.????1??????????????A???&??yyyy?????AyYy?% ???&??MathType??????? ???????u?th??????aea (x, t)=TxTtf(x, t), wmetafile8? ??‚???+???????? ???????????yyy???? ???????.????1??????????????a???&??yyyy?????Ay§y ' ???&??MathType??P? ???u?????????"????-?????~?@????~?¶??? ???????u?th??????O ia?aa?ao? aeine?aeaeothoueny oaeiae aeenia?n?ei? aeanoeaino? iayaii? oa oaeoi?eciaaii? ??cieoeaaeo noai. Aoei aeyaeaii, ui aeenia?n?ei? aeanoeaino? oaeoi?eciaaii? noaie ia a??o? ca aeanoeaino? cae/aeii? iayaii? noaie. Oea aeicaiey? iiaoaeoaaoe ia iai?oiaiiaeueiiio naieoi/eiaiio oaaeii? i?yiieooii? n?oee (ia a?aei?io a?ae o?eeooii?) iaoiae ciaoiaeaeaiiy ?ica’yce?a, ui a?i aeei?enoiao? e?euee?noue iia?aoe?e i?iii?oe?eio e?eueeino? aoce?a n?oee. O oeueiio ia?aa?ao? aeey iayaii? noaie ia naieoi/eiaiio oaaeii? ciaoiaeeoueny oaeiae iioeiaeueia cia/aiiy aaaiaiai eiao?oe??ioa wmetafile8? ??n???;???????? ???????????yyy???? ???????.????1?????????????`????&??yyyy?????Ay?y@ ???&??MathType??? ???u?????????"????-?????y????y4???yY???y8??? ???????u?th???????acoeueoaoe /enaeueieo ?ic?aooie?a §7 i?aeoaa?aeaeothoue iaea?aeai? o iiia?aaei?o ia?aa?aoao oai?aoe/i? ?acoeueoaoe. AENIIAEE 1. Iiaoaeiaaiee iiaee eean ??cieoeaaeo ai?ieneiaoe?e — ??cieoeaa? iia?aoi?e Eaieana ia iai?oiaiiaeueieo oaaeiiao i?yiieooii? n?oee ye aeey ieiueie, oae ? aeey o?eaei??iiai i?inoi?o. 2. I?iaaaeaii aiae?c niaeo?aeueieo oa aeenia?n?eieo aeanoeainoae aeaio aaaeeeaeo aeiaaee?a — ??cieoeaaiai iia?aoi?a Eaieana ia iai?oiaiiaeueiiio naieoi/eiaiio oaaeii? i?yiieooii? n?oee oa iai?oiaiiaeueiiio o?eiaaeoeyoeoi/eiaiio oaaeii? o o?eaei??iiio i?inoi??. 3. Iaea?aeaii ioe?iee oi/iino? ??cieoeaaeo noai, ui aeei?enoiaothoue oe? oaaeiie, aeey ae?ioe/ieo oa a?ia?aie?/ieo ??aiyiue c iaaeaaeeeie ?ica’yceaie, ye? iaeaaeaoue i?inoi?ai Niaie?aa. Aeiaaaeaii, ui aeey aeaiaei??iiai aeiaaeeo aeai?ii ai?ieneiaoe?? i?aai? /anoeie noaie iiaeia aeinyaoe /aoaa?oiai ii?yaeeo ai?ieneiaoe?? ye aeey ae?ioe/iiai, oae ? aeey a?ia?aie?/iiai aeiaaeeo. 4. Cai?iiiiiaaii aeai?eoie ?ica’ycoaaiiy noai ia iai?oiaiiaeueieo oaaeiiao. Aeiaaaeaii, ui ia?ao?ae ia i?yiieooio n?oeo aeey aeaiaei??iiai ??aiyiiy aeicaieea ca?eueoeoe aoaeoeai?nue aeai?eoi?a o aeaa ?ace, ii??aiyii ?c o?eeooiith n?oeith, i?e/iio aac iia??oaiiy ai?ieneiaoe?eieo oa aeenia?n?eieo aeanoeainoae noaie. NIENIE IIOAE?EIAAIEO ?IA?O II OAI? AeENA?OAOe?? 1. Aeno?eoeueeee I.?. Ca?aei?noue ??cieoeaai? noaie ia iai?oiaiiaeueiiio naieoi/eiaiio oaaeii? aeey ??aiyiiy Ioanniia o ii?i? Lp (1

Нашли опечатку? Выделите и нажмите CTRL+Enter

Похожие документы
Обсуждение

Ответить

Курсовые, Дипломы, Рефераты на заказ в кратчайшие сроки
Заказать реферат!
UkrReferat.com. Всі права захищені. 2000-2020