THE ETIMATION OF SOLUTION OF ONE VOLTERYAN TYPEINTEGRAL EQUATION

Kh. A. Khachatrian

doi:10.46991/PYSUA.2003.37.1.021

THE ETIMATION OF SOLUTION OF ONE VOLTERYAN TYPEINTEGRAL EQUATION

Authors

Kh. A. Khachatrian Chair of Differential Equations, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSUA.2003.37.1.021

Keywords:

Volterian type equation, stochastic kernel, contracted operator

Abstract

In present paper one Volterian type integral equation with stochastic kernel is considered. Special factorization allows to reduce it to new equation with contracted operator, as well as to find asymptotic behavior of the solution depending on properties of free term. It was shown that obtained estimation is exact. The results for Volterian type equation with variable lower limit are applied.

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Published

2003-03-10

Issue

Vol. 37 No. 1 (200) (2003)

Section

Mathematics

License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Khachatrian, K. A. (2003). THE ETIMATION OF SOLUTION OF ONE VOLTERYAN TYPEINTEGRAL EQUATION. Proceedings of the YSU A: Physical and Mathematical Sciences, 37(1 (200), 21-26. https://doi.org/10.46991/PYSUA.2003.37.1.021