Boundary value problems for essentially-loaded parabolic equation

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dc.contributor.authorRamazanov, M.I.
dc.contributor.authorKosmakova, M.T.
dc.contributor.authorRomanovsky, V.G.
dc.contributor.authorZhanbusinova, B.H
dc.contributor.authorTuleutaeva, Zh.M.
dc.date.accessioned2019-03-06T05:14:54Z
dc.date.available2019-03-06T05:14:54Z
dc.date.issued2018-12-29
dc.description.abstractIn this paper we investigate the first boundary value problem for essentially loaded equation of heat conduction, i.e. when laden terms are derivatives for any finite order. It is shown that if the point of load is fixed, this problem is uniquely solvable. The stated boundary problem is reduced to the Volterra integral equation of the second kind. Estimates of the kernel of the integral equation are made, which indicate a weak singularity of the kernel. It is shown that if the point of load is fixed, then the stated boundary problem is uniquely solvable.ru_RU
dc.identifier.citationRamazanov, M.I. Boundary value problems for essentially-loaded parabolic equation/M.I. Ramazanov, M.T. Kosmakova, V.G. Romanovsky a.e.//Қарағанды универисетінің хабаршысы. Математика сериясы.=Вестник Карагандинского университета. Серия Математика=Bulletin of the Karaganda University. Mathematics Series.-2018.- №4.-Р.79-86.ru_RU
dc.identifier.issn2518-7929
dc.identifier.urihttps://rep.buketov.edu.kz:80//handle/data/4068
dc.language.isootherru_RU
dc.publisherYe.A.Buketov Karaganda State University Publ.ru_RU
dc.relation.ispartofseriesҚарағанды универисетінің хабаршысы. Математика сериясы.=Вестник Карагандинского университета. Серия Математика=Bulletin of the Karaganda University. Mathematics Series.;№ 4(92)/2018
dc.subjectheat equationru_RU
dc.subjectboundary value problemsru_RU
dc.subjectloaded equationru_RU
dc.subjectkernelru_RU
dc.subjectconvolution theoremru_RU
dc.subjecteigen-functionru_RU
dc.titleBoundary value problems for essentially-loaded parabolic equationru_RU
dc.title.alternativeАйтарлықтай-жүктемелi параболалық теңдеулер үшш шекаралық есептерru_RU
dc.title.alternativeКраевые задачи для существенно-нагруженного параболического уравненияru_RU
dc.typeArticleru_RU

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