Natural Science, Mathematics, 2025
ON SOLVABILITY OF A CLASS OF NONLINEAR INTEGRALEQUATIONS WITH HAMMERSTEIN TYPE NONCOMPACT OPERATORIN THE SPACEL1(R+)
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Submitted: 2025-02-12; Published: 2025-02-12
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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.