ON SOME SINGULAR INTEGRAL EQUATIONS ON THE SEMI-AXIS

V.V. Simonyan

doi:10.46991/PYSU:A/2011.45.1.012

ON SOME SINGULAR INTEGRAL EQUATIONS ON THE SEMI-AXIS

Authors

V.V. Simonyan Chair of Differential Equations, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2011.45.1.012

Keywords:

singular equation, pseudo-differential equation, matrix coupling

Abstract

In this paper the non-characteristic singular integral equations on the semi-axis are discussed. The solution of these equations is reduced to the solution of one-dimensional pseudo-differential equations. Some examples of singular equations for which explicit solutions exist are provided.

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Published

2011-02-16

How to Cite

Simonyan, V. (2011). ON SOME SINGULAR INTEGRAL EQUATIONS ON THE SEMI-AXIS. Proceedings of the YSU A: Physical and Mathematical Sciences, 45(1 (224), 12–17. https://doi.org/10.46991/PYSU:A/2011.45.1.012