ON SOLUTION OF A CLASS OF HAMMERSTEIN TYPE NONLINEAR INTEGRAL EQUATIONS ON THE POSITIVE HALF-LINE IN THE CRITICAL CASE

Authors

  • H.S. Petrosyan Armenian National Agrarian University

DOI:

https://doi.org/10.46991/PSYU:A/2014.48.3.031

Keywords:

Hammerstein type equation, completely monotone kernel, iteration, Caratheodory’s condition, monotony, convergence

Abstract

In the this article a class of nonlinear integral equations with noncompact Hammerstein integral operator, the kernel of which depends on difference of its arguments is investigated. Above mentioned class of equations arises in the kinetic theory of gases and in the radiative transfer theory in nuclear reaction. Combination of special iteration methods with the methods of the theory of construction of invariant cone-shaped segments allow to prove existence theorems of positive solutions in special selected weighted space.

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Published

2014-11-03

How to Cite

Petrosyan, H. (2014). ON SOLUTION OF A CLASS OF HAMMERSTEIN TYPE NONLINEAR INTEGRAL EQUATIONS ON THE POSITIVE HALF-LINE IN THE CRITICAL CASE. Proceedings of the YSU A: Physical and Mathematical Sciences, 48(3 (235), 31–39. https://doi.org/10.46991/PSYU:A/2014.48.3.031

Issue

Section

Mathematics