Symmetric Positive Solutions for Nonlinear Singular Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition

Fuyi Xu and Jian Liu

Discrete Dynamics in Nature and Society, 2010, vol. 2010, 1-16

Abstract:

We investigate nonlinear singular fourth-order eigenvalue problems with nonlocal boundary condition , , , , where , , may be singular at and/or . Moreover may also have singularity at and/or . By using fixed point theory in cones, an explicit interval for is derived such that for any in this interval, the existence of at least one symmetric positive solution to the boundary value problem is guaranteed. Our results extend and improve many known results including singular and nonsingular cases. The associated Green's function for the above problem is also given.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:187827

DOI: 10.1155/2010/187827

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