ON ONE URYSOHN TYPE NONLINEAR INTEGRAL EQUATION WITH NONCOMPACT OPERATOR

Authors

  • Kh. A. Khachatryan Institute of Mathematics of NAS Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2010.44.3.023

Keywords:

nonlinearity, iterative methods, Urysohn operator, Caratheodory condition

Abstract

In the present paper the Urysohn type nonlinear integral equation with noncompact operator on the half-line is considered. It is assumed that the Wiener–Hopf–Hankel type operator is a local minorant for the initial Urysohn operator. The existence of a positive and bounded solution is proved. The limit of constructed solution at infinity is calculated. At the end of the work a list of examples is given.

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Published

2010-10-21

How to Cite

Khachatryan, K. A. (2010). ON ONE URYSOHN TYPE NONLINEAR INTEGRAL EQUATION WITH NONCOMPACT OPERATOR. Proceedings of the YSU A: Physical and Mathematical Sciences, 44(3 (223), 23–28. https://doi.org/10.46991/PYSU:A/2010.44.3.023

Issue

Section

Mathematics