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

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  • Yongxiang Li
  • He Yang

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.

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  • Yongxiang Li & He Yang, 2010. "An Existence and Uniqueness Result for a Bending Beam Equation without Growth Restriction," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-9, June.
    • Handle: RePEc:hin:jnlaaa:694590
    DOI: 10.1155/2010/694590
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