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Solvability for a Fully Elastic Beam Equation with Left-End Fixed and Right-End Simply Supported

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  • Mei Wei
  • Yongxiang Li

Abstract

The aim of the present paper is to consider a fully elastic beam equation with left-end fixed and right-end simply supported, i.e., , where is a continuous function. By applying Leray–Schauder fixed point theorem of the completely continuous operator, the existence and uniqueness of solutions are obtained under the conditions that the nonlinear function satisfies the linear growth and superlinear growth. For the case of superlinear growth, a Nagumo-type condition is introduced to limit that is quadratical growth on at most.

Suggested Citation

  • Mei Wei & Yongxiang Li, 2021. "Solvability for a Fully Elastic Beam Equation with Left-End Fixed and Right-End Simply Supported," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-9, June.
    • Handle: RePEc:hin:jnlmpe:5528270
    DOI: 10.1155/2021/5528270
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    Cited by:

    1. Yongxiang Li & Weifeng Ma, 2022. "Existence of Positive Solutions for a Fully Fourth-Order Boundary Value Problem," Mathematics, MDPI, vol. 10(17), pages 1-19, August.

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