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

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

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.

DOI: 10.46991/PYSUA.2014.48.3.016 Physical and Mathematical Sciences, 48(3 (235) 16-23

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Keywords

Hammerstein type equation, one-parameter family of solutions, Caratheodory condition, monotony, iteration

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