About Dirichlet boundary value problem for the heat equation in the infinite angular domain

dc.contributor.authorJenaliyev, M.
dc.contributor.authorAmangaliyeva, M.
dc.contributor.authorKosmakova, M.
dc.contributor.authorRamazanov, M.
dc.date.accessioned2018-06-05T11:07:16Z
dc.date.available2018-06-05T11:07:16Z
dc.date.issued2014-09
dc.description.abstractIn this paper it is established that in an infinite angular domain for Dirichlet problem of the heat conduction equation the unique (up to a constant factor) non-trivial solution exists, which does not belong to the class of summable functions with the found weight. It is shown that for the adjoint boundary value problem the unique (up to a constant factor) non-trivial solution exists, which belongs to the class of essentially bounded functions with the weight found in the work. It is proved that the operator of a boundary value problem of heat conductivity in an infinite angular domain in a class of growing functions is Noetherian with an index which is equal to minus one.ru_RU
dc.identifier.citationAbout Dirichlet boundary value problem for the heat equation in the infinite angular domain/ M. Jenaliyev[a.o.]//Boundary Value Problems.-2014.-№12ru_RU
dc.identifier.urihttps://rep.buketov.edu.kz/handle/data/3074
dc.language.isoenru_RU
dc.publisherSPRINGERru_RU
dc.relation.ispartofseriesBoundary Value Problems;
dc.subjectunique classesru_RU
dc.subjectheat conductivityru_RU
dc.subjectangular domainru_RU
dc.subjectboundary value problemru_RU
dc.subjectnon-trivial solutionru_RU
dc.subjectVolterra integral equationru_RU
dc.titleAbout Dirichlet boundary value problem for the heat equation in the infinite angular domainru_RU
dc.typeArticleru_RU

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