ON SOLVABILITY OF A CLASS OF NONLINEAR INTEGRAL EQUATIONS WITH HAMMERSTEIN TYPE NONCOMPACT OPERATOR IN THE SPACE $L_1(R^+)$

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/PSYU:A/2014.48.3.016

Keywords:

Hammerstein type equation, one-parameter family of solutions, Caratheodory condition, monotony, iteration

Abstract

In the paper a class of nonlinear integral equations on the positive semi axis with noncompact Hammerstein type operator is studied. The existence of nontrivial, nonnegative, integrable and bounded on $R^+$ solution is proved. Some specific examples of these equations representing independent interest are given.

Downloads

Published

2014-11-03

How to Cite

Khachatryan, K., & Sardaryan, T. (2014). ON SOLVABILITY OF A CLASS OF NONLINEAR INTEGRAL EQUATIONS WITH HAMMERSTEIN TYPE NONCOMPACT OPERATOR IN THE SPACE $L_1(R^+)$. Proceedings of the YSU A: Physical and Mathematical Sciences, 48(3 (235), 16–23. https://doi.org/10.46991/PSYU:A/2014.48.3.016

Issue

Section

Mathematics