ON SOLVABILITY OF A CLASS OF NONLINEAR INTEGRAL EQUATIONS WITH HAMMERSTEIN TYPE NONCOMPACT OPERATOR IN THE SPACE $L_1(R^+)$
DOI:
https://doi.org/10.46991/PSYU:A/2014.48.3.016Keywords:
Hammerstein type equation, one-parameter family of solutions, Caratheodory condition, monotony, iterationAbstract
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
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
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Mathematics
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