Existence of Positive Solutions for an Elastic Beam Equation with Nonlinear Boundary Conditions

Ruikuan Liu and Ruyun Ma

Journal of Applied Mathematics, 2014, vol. 2014, 1-5

Abstract:

We study the existence and nonexistence of positive solutions for the following fourth-order two-point boundary value problem subject to nonlinear boundary conditions , where are parameters, and , and are continuous. By using the fixed-point index theory, we prove that the problem has at least one positive solution for sufficiently small and has no positive solution for large enough.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:972135

DOI: 10.1155/2014/972135

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