2010; Physical and Mathematical Sciences, 45(1 (224): 23–28
Shared with The Gufo

ON ONE URYSOHN TYPE NONLINEAR INTEGRAL EQUATION WITH NONCOMPACT OPERATOR

Kh. A. Khachatryan*

Received: 2025-02-23 · Published: 2010-10-21

© 2010 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
Shared article.
Original title
ON ONE URYSOHN TYPE NONLINEAR INTEGRAL EQUATION WITH NONCOMPACT OPERATOR
Author
Kh. A. Khachatryan
Published
2010-10-21
Licence
Creative Commons Attribution 4.0 International

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.
1 / ? 100% Open in new tab Download Cite

Loading the full text…

Download Follow Updates