On nontrivial solvability of a nonlinear Hammerstein-Volterra type integral equation

Khachatryan Kh. A. , Grigoryan S. A.
Vladikavkaz Mathematical Journal 2012. Vol. 14. Issue 2.

Abstract:
The existence is studied of one parametric family of positive bounded solutions for a class of Hammerstein-Volterra type nonlinear homogeneous integral equations. This class of equations has important applications in the kinetic theory of gases.

Keywords: Hammerstein-Volterra type equation, factorization, iterative approximation, kernel

The sole copyright holder of the published work is the Founder of the Vladikavkaz Mathematical Journal. The terms of use of this work are governed by an open license (Creative Commons Attribution-NonCommercial 4.0 International). The use of metadata of the scientific article, including the title, abstract, author information, references, identifiers, and other bibliographic description elements for subsequent unrestricted use, is carried out under the terms of the CC BY or CC0 open licenses.