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

Mei Wei and Yongxiang Li

Mathematical Problems in Engineering, 2021, vol. 2021, 1-9

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5528270

DOI: 10.1155/2021/5528270

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