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Journal of Jilin University Science Edition ›› 2023, Vol. 61 ›› Issue (4): 745-752.

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Nontrivial Solutions for a Class of Semipositive Superlinear Beam Equations with Simply Supported Beam Condition

MA Qiong, WANG Jingjing

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received:2022-09-15 Online:2023-07-26 Published:2023-07-26

Abstract

Abstract: Under some conditions about corresponding principal eigenvalue of linear operator, we prove the existence of nontrivial solutions and positive solutions of boundary value problem for the semipositive nonlinear Euler-Bernoulli beam equations with simply supported beam boundary condition by using the topological degree method and the fixed point theory.

Key words: topological degree, fixed point, nontrivial solution and positive solution, Euler-Bernoulli beam equations

CLC Number:

O175.8

MA Qiong, WANG Jingjing. Nontrivial Solutions for a Class of Semipositive Superlinear Beam Equations with Simply Supported Beam Condition[J].Journal of Jilin University Science Edition, 2023, 61(4): 745-752.

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Nontrivial Solutions for a Class of Semipositive Superlinear Beam Equations with Simply Supported Beam Condition

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