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 |