On singular integral equations with variable limits of integration

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dc.contributor.author Akhmanova, D.M.
dc.contributor.author Kervenev, K.E.
dc.contributor.author Baltabayeva, A.M.
dc.date.accessioned 2019-05-08T05:34:26Z
dc.date.available 2019-05-08T05:34:26Z
dc.date.issued 2019-03-30
dc.identifier.citation Akhmanova D.M. On singular integral equations with variable limits of integration /D.M. Akhmanova, K.E. Kervenev, A.M. Baltabayeva //Қарағанды универисетінің хабаршысы. Математика сериясы.=Вестник Карагандинского университета. Серия Математика=Bulletin of the Karaganda University. Mathematics Series.-2019.- №1.-Р.8-18 en_US
dc.identifier.issn 2518-7929
dc.identifier.issn 2663–5011
dc.identifier.uri http://rep.ksu.kz/handle/data/5695
dc.description.abstract The wide range of problems of mathematical physics is reduced to a special Volterra integral equation of the second kind or to integral equations with variable limits of integration. Among such problems we can include: boundary value problems for spectrally loaded differential equations [1–4], inverse problems [5, 6], nonlocal problems [7], boundary value problems for domains with moving boundaries as the domain degenerates at the time [8, 9] and others. In the study of integral equations with a variable lower limit of integration, the operational method can not be used directly, since in this case the convolution theorem is not applicable. However, the Laplace transform can be used to study this kind of integral equation by applying the method of model solutions. en_US
dc.language.iso en en_US
dc.publisher Ye.A.Buketov Karaganda State University Publ. en_US
dc.relation.ispartofseries Bulletin of the Karaganda University. Mathematics Series.;№1(93)/2019
dc.subject model solution en_US
dc.subject integrals operator en_US
dc.subject specter en_US
dc.subject resolvent en_US
dc.subject characteristic numbers en_US
dc.subject eigenfunctions en_US
dc.title On singular integral equations with variable limits of integration en_US
dc.title.alternative Айнымалы шекті интегралды ерекше интегралдық теңдеулер жайлы
dc.title.alternative Об особых интегральных уравнениях с переменными пределами интегрирования
dc.type Article en_US

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