ON SOLVABILITY OF A CLASS OF NONLINEAR INTEGRALEQUATIONS WITH HAMMERSTEIN TYPE NONCOMPACT OPERATORIN THE SPACEL1(R+)

Khachatryan Khachatryan

Received N/A; revised N/A; accepted N/A

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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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