具有完全非线性项的非局部梁方程正解

Abstract

Abstract:

Two classes of beam equations with fully nonlinear terms are studied that the boundary conditions involve Stieltjes integrals. An a priori bound on the third-order derivative term is evaluated by using a Gronwall -type inequality, and the existence of positive solutions is obtained based on the theory of fixed-point index on suitable open sets. The third-order derivative terms in nonlinearities have quadratic growth.

Key words: Positive solution, Fixed point index, Cone, Gronwall inequality

CLC Number:

O175.14

Guo Zhiyuan, Gao Yuan, Sun Jiacheng, Zhang Guowei. Positive Solutions of Nonlocal Beam Equations with Fully Nonlinear Terms[J].Acta mathematica scientia,Series A, 2024, 44(3): 621-636.

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Positive Solutions of Nonlocal Beam Equations with Fully Nonlinear Terms

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