Symmetric positive solutions of fourth order integral BVP for an increasing homeomorphism and homomorphism with sign-changing nonlinearity on time scales

Authors:
Nuket Aykut Hamal;Fulya Yoruk
Affiliations:
Department of Mathematics, Ege University, 35100 Bornova, Izmir, Turkey;Department of Mathematics, Ege University, 35100 Bornova, Izmir, Turkey
Venue:
Computers & Mathematics with Applications
Year:
2010

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Symmetric positive solutions for p-Laplacian fourth-order differential equations with integral boundary conditions

Journal of Computational and Applied Mathematics

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Abstract

In this paper, we consider the eigenvalue problems for fourth order integral boundary value problems on time scales for an increasing homeomorphism and homomorphism with sign changing nonlinearities. By using a fixed point index theorem, we give the existence of eigenvalue intervals in which there exist one symmetric positive solution to the problem. An example is also given to demonstrate the main results.