ON A CONNECTION BETWEEN A CLASS OF SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS AND INTEGRAL OPERATORS WITH SEMI-SEPARABLE KERNEL

A.H. Hovhannisyan; A.H. Kamalyan; H.A. Kamalyan

doi:10.46991/PYSU:A/2018.52.2.077

ON A CONNECTION BETWEEN A CLASS OF SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS AND INTEGRAL OPERATORS WITH SEMI-SEPARABLE KERNEL

Authors

A.H. Hovhannisyan Chair of Higher Mathematics, Faculty of Radiophysics, YSU, Armenia
A.H. Kamalyan Chair of Differential Equations, YSU, Armenia
H.A. Kamalyan Institute of Mathematics National Academy of Sciences, Armenia; Chair of Higher Mathematics, ASUE, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2018.52.2.077

Keywords:

semi-separable kernel, fundamental matrix

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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Published

2018-08-15

How to Cite

Hovhannisyan, A., Kamalyan, A., & Kamalyan, H. (2018). ON A CONNECTION BETWEEN A CLASS OF SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS AND INTEGRAL OPERATORS WITH SEMI-SEPARABLE KERNEL. Proceedings of the YSU A: Physical and Mathematical Sciences, 52(2 (246), 77–83. https://doi.org/10.46991/PYSU:A/2018.52.2.077