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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2018, Volume 52, Issue 2, Pages 77–83
(Mi uzeru461)
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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.
Received: 10.04.2018
Accepted: 20.06.2018
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, Physical and Mathematical Sciences, 52:2 (2018), 77–83
Linking options:
https://www.mathnet.ru/eng/uzeru461 https://www.mathnet.ru/eng/uzeru/v52/i2/p77
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| Statistics & downloads: |
| Abstract page: | 138 | | Full-text PDF : | 38 | | References: | 19 |
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