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

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dc.contributor.author Jenaliyev, M.
dc.contributor.author Amangaliyeva, M.
dc.contributor.author Kosmakova, M.
dc.contributor.author Ramazanov, M.
dc.date.accessioned 2018-01-24T11:12:25Z
dc.date.available 2018-01-24T11:12:25Z
dc.date.issued 2014-12
dc.identifier.citation About Dirichlet boundary value problem for the heat equation in the infinite angular domain/ M. Jenaliyev[a.o.]//Boundary Value Problems.-2014.-№12. ru_RU
dc.identifier.issn 1687-2770
dc.identifier.uri http://rep.ksu.kz/handle/data/2112
dc.description.abstract In 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.language.iso en ru_RU
dc.publisher Springer International Publishing ru_RU
dc.relation.ispartofseries Boundary Value Problems;№12
dc.subject unique classes ru_RU
dc.subject heat conductivity ru_RU
dc.subject angular domain ru_RU
dc.subject boundary value problem ru_RU
dc.subject non-trivial solution ru_RU
dc.subject Volterra integral equation ru_RU
dc.title About Dirichlet boundary value problem for the heat equation in the infinite angular domain ru_RU
dc.type Article ru_RU


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