The Solvability and Numerical Simulation for the Elastic Beam Problems with Nonlinear Boundary Conditions

Qun Gao

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

Abstract:

We study the existence of multiple solutions for a fourth-order nonlinear boundary value problem. We give some new criteria for guaranteeing that the fourth-order elastic beam equation with a perturbed term has at least three solutions. The proof is based on some three critical points theorems of B. Ricceri. Furthermore, numerical simulations are also presented.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:454658

DOI: 10.1155/2014/454658

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