SOLUTION OF ONE VOLTERRA TYPE NONLINEAR INTEGRAL EQUATION ON POSITIVE SEMI-AXIS

Authors

  • Kh.A. Khachatryan Institute of Mathematics of NAS of the Republic of Armenia
  • T.H. Sardaryan Institute of Mathematics of NAS of the Republic of Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2013.47.3.012

Keywords:

factorization, Caratheodory’s condition, asymptotics

Abstract

The work is devoted to the investigation of one class of Volterra type nonlinear integral equations on positive half-line. The specified class of equations except for self-interest in mathematics has also important applications in physical kinetics. The combination of special factorization methods with methods of construction of invariant cone segments allows us to construct a non-negative solution of initial equation, and investigate integral asymptotics of that solution at infinity.

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Published

2013-11-20

How to Cite

Khachatryan, K., & Sardaryan, T. (2013). SOLUTION OF ONE VOLTERRA TYPE NONLINEAR INTEGRAL EQUATION ON POSITIVE SEMI-AXIS. Proceedings of the YSU A: Physical and Mathematical Sciences, 47(3 (232), 12–17. https://doi.org/10.46991/PYSU:A/2013.47.3.012

Issue

Section

Mathematics