2014; Physical and Mathematical Sciences, 48(3 (235): 16–23
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ON SOLVABILITY OF A CLASS OF NONLINEAR INTEGRALEQUATIONS WITH HAMMERSTEIN TYPE NONCOMPACT OPERATORIN THE SPACEL1(R+)

Khachatryan Khachatryan*

Received: 2025-02-12 · Published: 2014-11-03

© 2014 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
ON SOLVABILITY OF A CLASS OF NONLINEAR INTEGRALEQUATIONS WITH HAMMERSTEIN TYPE NONCOMPACT OPERATORIN THE SPACEL1(R+)
Author
Khachatryan Khachatryan
Published
2014-11-03
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.46991/PYSUA.2014.48.3.016

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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