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

Kh.A. Khachatryan; T.H. Sardaryan

doi:10.46991/PYSUA.2014.48.3.016

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/PYSUA.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.

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Published

2014-11-03

Issue

Vol. 48 No. 3 (235) (2014)

Section

Mathematics

License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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/PYSUA.2014.48.3.016