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Multiple positive solutions for integro-differential equations with integral boundary conditions and sign changing nonlinearities. (English) Zbl 1243.45017

Summary: We show the existence of multiple positive solutions for integro-differential equations with one-dimensional \(p\)-Laplacian operator, sign changing nonlinearities, and integral boundary conditions. By using the Schauder fixed point theorem and the Krasnosel’skii fixed point theorem, we obtain sufficient conditions for the existence of at least two positive solutions.

MSC:

45M20 Positive solutions of integral equations
45J05 Integro-ordinary differential equations
45G10 Other nonlinear integral equations