Volterra’s equation of the second kind with «incompressible» kernel

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dc.contributor.authorDzhenaliyev, M.T.
dc.contributor.authorKalantarov, V.K.
dc.contributor.authorKosmakova, M.T.
dc.contributor.authorRamazanov, M.I.
dc.date.accessioned2019-03-28T08:39:57Z
dc.date.available2019-03-28T08:39:57Z
dc.date.issued2014-09-30
dc.description.abstractIn the article the singular Volterra’s integral equation of the second kind is considered, which because of the «incompressible» of the kernel classical methods of solutions are not applicable. It is shown that the corresponding homogeneous equation at  1 has a continuous spectrum, and the multiplicity of the characteristic numbers grows with increasing  . By the Carleman-Vekua method the equation is reduced to Abelequation. The eigenfunctions of the equation are found in an explicit form.ru_RU
dc.identifier.citationVolterra’s equation of the second kind with «incompressible» kernel /M.T.Dzhenaliyev, V.K.Kalantarov, M.T.Kosmakova, M.I.Ramazanov //Қарағанды универисетінің хабаршысы. Математика сериясы.=Вестник Карагандинского университета. Серия Математика=Bulletin of the Karaganda University. Mathematics Series.-2014.-№3.-Р.42-50ru_RU
dc.identifier.issn0142-0843
dc.identifier.urihttps://rep.buketov.edu.kz:80//handle/data/4545
dc.language.isoenru_RU
dc.publisherYe.A.Buketov Karaganda State University Publishing houseru_RU
dc.relation.ispartofseriesBulletin of the Karaganda University. Mathematics Series;№3(75)/2014
dc.subjectthe singular Volterra’s integral equation of the second kindru_RU
dc.subject«incompressible» kernelru_RU
dc.subjecteigenfunctionru_RU
dc.subjectAbel’s equationru_RU
dc.titleVolterra’s equation of the second kind with «incompressible» kernelru_RU
dc.title.alternative«Қысылмайтын» ядросы бар екінші текті Вольтерраның бір теңдеуі жайындаru_RU
dc.title.alternativeОб одном уравнении Вольтерра второго рода с «несжимаемым» ядромru_RU
dc.typeArticleru_RU

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