The method of lower and upper solutions for the cantilever beam equations with fully nonlinear terms

DOI10.1186/s13660-019-2088-5zbMath1499.34156OpenAlexW2947158514MaRDI QIDQ2067872

Yongxiang Li, Yabing Gao

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2088-5

zbMATH Keywords

existenceboundary value problemlower and upper solutioncantilever beam equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (8)

A cantilever beam problem with small deflections and perturbed boundary data ⋮ Existence-uniqueness and fixed-point iterative method for general nonlinear fourth-order boundary value problems ⋮ Lower and upper solutions method to the fully elastic cantilever beam equation with support ⋮ Existence and uniqueness of solutions to the nonlinear boundary value problem for fourth-order differential equations with all derivatives ⋮ Validity of the nonlinear Schrödinger approximation for quasilinear dispersive systems with more than one derivative ⋮ Unnamed Item ⋮ Sharper existence and uniqueness results for solutions to fourth-order boundary value problems and elastic beam analysis ⋮ On a fractional cantilever beam model in the q-difference inclusion settings via special multi-valued operators

Cites Work

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• Singular \((p,n-p)\) focal and \((n,p)\) higher order boundary value problems
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• Multiplicity results for singular conjugate, focal, and \((N,P)\) problems
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