On the lower and upper solutions method for the problem of elastic beam with hinged ends

DOI10.1016/j.jmaa.2014.08.004zbMath1408.34031OpenAlexW2046731292MaRDI QIDQ743210

Robert Vrabel

Publication date: 23 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.08.004

zbMATH Keywords

singular perturbationboundary value problemlower and upper solutionfourth-order ordinary differential equationSchauder fixed point theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Singular perturbations for ordinary differential equations (34E15)

Related Items (13)

Formation of boundary layers for singularly perturbed fourth-order ordinary differential equations with the Lidstone boundary conditions ⋮ On a fourth-order boundary value problem at resonance ⋮ Solution of nonlinear boundary value problem by S-iteration ⋮ Positive solutions for nonlocal extended Fisher-Kolmogorov and Swift-Hohenberg equations ⋮ The method of lower and upper solutions for fourth order equations with the Navier condition ⋮ Global structure of positive solutions for semipositone nonlinear Euler-Bernoulli beam equation with Neumann boundary conditions ⋮ Green's function and existence results for solutions of semipositone nonlinear Euler-Bernoulli beam equations with Neumann boundary conditions ⋮ Unnamed Item ⋮ Lower and upper solutions method for a problem of an elastic beam whose one end is simply supported and the other end is sliding clamped ⋮ Nonlinear elastic beam problems with the parameter near resonance ⋮ Lower and upper solution method for the problem of elastic beam with hinged ends ⋮ Rectangles of positive eigenvalues with positive eigenfunctions of nonlinear multiparameter coupled systems ⋮ A monotone iteration for a nonlinear Euler-Bernoulli beam equation with indefinite weight and Neumann boundary conditions

Cites Work

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• Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions
• Uniqueness in the Schauder Fixed Point Theorem
• Upper and lower solution method for fourth-order four-point boundary value problems

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