carpathian_2008_24_2_054_062_001

Positive solutions for nonlinear integral equations of Hammerstein type


Andrei Horvat-Marc


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carpathian_2008_24_2_054_062

We apply a variant of Krasnoselskii's compression-expansion theorem for nonlinear operators which satisfy a compact condition of Monch type. Our approach makes possible to establish conditions which ensure the existence of positive solutions of abstract integral equations of Hammerstein type.

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Horvat-Marc, Andrei