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ПРИМЕНЕНИЕ МЕТОДА РОТЕ К ПЕРВОЙ ЗАДАЧЕ ФУРЬЕ ДЛЯ ПАРАБОЛИЧЕСКОЙ СИСТЕМЫ

ПРИМЕНЕНИЕ МЕТОДА РОТЕ К ПЕРВОЙ ЗАДАЧЕ ФУРЬЕ ДЛЯ ПАРАБОЛИЧЕСКОЙ СИСТЕМЫ DEMONSTRATIO MATHEMATICAVol. ViliNo 31*75KATAXCUHA JIHTCBCKSI I P H M E H E H H E M E T O f l A POTÈ K I1EPBOH 3 A / I A H EflJI*nAPABOJIHMECKOii CHCTEMbI4>yPbEB 3TOÜ paÖOTe flOKa3aHO cymecTB&Bamie no MeTOjy PoTemeHHHX pemeHHiì nepBOfi 3a,naiH gpyptewecKOäCHCIEMHTjymM e i o ^ PoTe, npHMeiiaJicHHHHHK) B paßOTax [ l ] , [ 2 ] ,KHeKOTOpoßotìo6-napaßoJiH-napaßojnmecKOMy y p a B -[3].PaccMOTpHM napaÖojiHiecKyio'cHCTeMy BH^anpH cjiejyjomHx rpaHHiHO—Haiajii>HNx yc^OBHHXI u(x,0)^= cp(x),u(x,t)xeSl;SRJIS^- a B M e i o a ÖOKOBOS noBepxHOCTBio UHjiHHflpa&- opranmieHHafldSÌ= Ä *[O,T] ,- r p a m m a Q, ,1ÄOofijiacTi.En ,(x,t)e Q^ =noBTopeHHe HH^eKca appoH3Be;neHHH o s H a i a e T cyMMHpOBaHHe OTn.KosifHiiHeHTHÌyHKQHeft,a ^=HBJUHOTCHa. . = a,10üiaid> 0,K2 =B = B ( x , t ) - MaTpnuaipmpjB xaKze > ITOCKaJUipHoftv r a i max a . . ( x , t ) < c o ,(x^eQj(3)rxenpocipaHciBaQ^,,^H3MepHiiofia Taicxe<£ % f .i=1H3NCTPOKH- 295 -N-CTOJI6UOBO3 a e u e H i H Ma-2K.JlKT&BCKav r a i max B ( x f t ) < X(x,t)eQT(a,Bu)dx-fyHKiiHHH3f> 0= f(x,t),N - KOUIIOHeHT tI^C^),XiJLff-c o n s t < «">£ W2*(p = <p(x) npe^CTaBJiHioTKOTOpHeH3 c e 6 aciojifiipiH3I^Qqi),o6o3HaueHHH±2ga^(xfz)=*-^[u(x,z)a^.(x,z)flajiBHeSmeM-£u(x,z+h)mh S y j e M A Mu(k)Pa306i>eM ipuiHHflepQ^2)u(x,z-h)] ,-u(x,z)j.coKpameHHa3anncHiijiockocthmht=kh,"H a c http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Demonstratio Mathematica de Gruyter

ПРИМЕНЕНИЕ МЕТОДА РОТЕ К ПЕРВОЙ ЗАДАЧЕ ФУРЬЕ ДЛЯ ПАРАБОЛИЧЕСКОЙ СИСТЕМЫ

Demonstratio Mathematica , Volume 8 (3): 8 – Jul 1, 1975
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References (3)

Publisher
de Gruyter
Copyright
© by Катажына Лнтэвскя
ISSN
0420-1213
eISSN
2391-4661
DOI
10.1515/dema-1975-0305
Publisher site
See Article on Publisher Site

Abstract

DEMONSTRATIO MATHEMATICAVol. ViliNo 31*75KATAXCUHA JIHTCBCKSI I P H M E H E H H E M E T O f l A POTÈ K I1EPBOH 3 A / I A H EflJI*nAPABOJIHMECKOii CHCTEMbI4>yPbEB 3TOÜ paÖOTe flOKa3aHO cymecTB&Bamie no MeTOjy PoTemeHHHX pemeHHiì nepBOfi 3a,naiH gpyptewecKOäCHCIEMHTjymM e i o ^ PoTe, npHMeiiaJicHHHHHK) B paßOTax [ l ] , [ 2 ] ,KHeKOTOpoßotìo6-napaßoJiH-napaßojnmecKOMy y p a B -[3].PaccMOTpHM napaÖojiHiecKyio'cHCTeMy BH^anpH cjiejyjomHx rpaHHiHO—Haiajii>HNx yc^OBHHXI u(x,0)^= cp(x),u(x,t)xeSl;SRJIS^- a B M e i o a ÖOKOBOS noBepxHOCTBio UHjiHHflpa&- opranmieHHafldSÌ= Ä *[O,T] ,- r p a m m a Q, ,1ÄOofijiacTi.En ,(x,t)e Q^ =noBTopeHHe HH^eKca appoH3Be;neHHH o s H a i a e T cyMMHpOBaHHe OTn.KosifHiiHeHTHÌyHKQHeft,a ^=HBJUHOTCHa. . = a,10üiaid> 0,K2 =B = B ( x , t ) - MaTpnuaipmpjB xaKze > ITOCKaJUipHoftv r a i max a . . ( x , t ) < c o ,(x^eQj(3)rxenpocipaHciBaQ^,,^H3MepHiiofia Taicxe<£ % f .i=1H3NCTPOKH- 295 -N-CTOJI6UOBO3 a e u e H i H Ma-2K.JlKT&BCKav r a i max B ( x f t ) < X(x,t)eQT(a,Bu)dx-fyHKiiHHH3f> 0= f(x,t),N - KOUIIOHeHT tI^C^),XiJLff-c o n s t < «">£ W2*(p = <p(x) npe^CTaBJiHioTKOTOpHeH3 c e 6 aciojifiipiH3I^Qqi),o6o3HaueHHH±2ga^(xfz)=*-^[u(x,z)a^.(x,z)flajiBHeSmeM-£u(x,z+h)mh S y j e M A Mu(k)Pa306i>eM ipuiHHflepQ^2)u(x,z-h)] ,-u(x,z)j.coKpameHHa3anncHiijiockocthmht=kh,"H a c

Journal

Demonstratio Mathematica – de Gruyter

Published: Jul 1, 1975

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