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 Proceedings of the YSU, Physics & Mathematics, 2018, Volume 52, Issue 2, Pages 77–83 (Mi uzeru461)

Mathematics

On a connection between a class of systems of ordinary differential equations and integral operators with semi-separable kernel

A. H. Hovhannisyana, A. G. Kamalianb, H. A. Kamalyancd

a Chair of Higher Mathematics, Faculty of Radiophysics YSU, Armenia
b Chair of Differential Equations YSU, Armenia
c Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan
d Chair of Higher Mathematics ASUE, Armenia

Abstract: In the present paper the connection between a class of systems of differential equations and integral operators with semi-separable kernel is established. Using a matrix of the system the inverse to a given integral operator is constructed. Moreover by putting some additional conditions on the kernel of integral operator and by the help of inverse of integral operator a fundamental matrix of the system is constructed.

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Document Type: Article
MSC: Primary 45P05; Secondary 34M03
Language: English

Citation: A. H. Hovhannisyan, A. G. Kamalian, H. A. Kamalyan, “On a connection between a class of systems of ordinary differential equations and integral operators with semi-separable kernel”, Proceedings of the YSU, Physics & Mathematics, 52:2 (2018), 77–83

Citation in format AMSBIB
\Bibitem{HovKamKam18} \by A.~H.~Hovhannisyan, A.~G.~Kamalian, H.~A.~Kamalyan \paper On a connection between a class of systems of ordinary differential equations and integral operators with semi-separable kernel \jour Proceedings of the YSU, Physics {\&} Mathematics \yr 2018 \vol 52 \issue 2 \pages 77--83 \mathnet{http://mi.mathnet.ru/uzeru461}