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

Qun Gao

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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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https://doi.org/10.1155/2014/454658

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:454658

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