Existence and uniqueness of monotone positive solutions for an elastic beam equation with nonlinear boundary conditions

DOI10.1016/j.camwa.2011.12.065zbMath1247.74035OpenAlexW2087573277MaRDI QIDQ453870

Shunyong Li, Xiao-Qin Zhang

Publication date: 30 September 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.12.065

zbMATH Keywords

existence and uniquenesselastic beam equationmonotone positive solutionfixed point theorem of generalized concave operators

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear boundary value problems for ordinary differential equations (34B15)

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Cites Work

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• On fourth order boundary value problems arising in beam analysis
• Positive solutions for nonlinear operator equations and several classes of applications
• Existence and iteration of monotone positive solutions for an elastic beam equation with a corner
• Monotone positive solutions for a fourth order equation with nonlinear boundary conditions
• Positive solutions of fourth-order two point boundary value problems.
• Positive solutions for eigenvalue problems of fourth-order elastic beam equations.
• The upper and lower solution method for some fourth-order boundary value problems
• On the existence of positive solutions of fourth-order ordinary differential equations

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