Existence and multiplicity of constant sign solutions for one-dimensional beam equation

DOI10.1007/s40840-020-01002-wzbMath1469.34038OpenAlexW3083416335MaRDI QIDQ2021585

Zhongzi Zhao, Dongliang Yan, Ru Yun Ma

Publication date: 27 April 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-020-01002-w

zbMATH Keywords

bifurcationGreen functionone-sign solutionsconnected componentclamped beam

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

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• A boundary value problem for fourth-order elastic beam equations
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• Existence of positive solutions of a fourth-order boundary value problem
• Existence and uniqueness theorems for the bending of an elastic beam equation
• Uniqueness and exact multiplicity of solutions for a class of fourth-order semilinear problems

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