An Existence and Uniqueness Result for a Bending Beam Equation without Growth Restriction

Yongxiang Li and He Yang

Abstract and Applied Analysis, 2010, vol. 2010, 1-9

Abstract:

We discuss the solvability of the fourth-order boundary value problem , , , which models a statically bending elastic beam whose two ends are simply supported, where is continuous. Under a condition allowing that is superlinear in and , we obtain an existence and uniqueness result. Our discussion is based on the Leray-Schauder fixed point theorem.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:694590

DOI: 10.1155/2010/694590

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