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

Issue

Section

Mathematics