Existence of positive solutions to a non-positive elastic beam equation with both ends fixed

DOI10.1186/1687-2770-2012-56zbMath1278.34020OpenAlexW2139758030WikidataQ59289610 ScholiaQ59289610MaRDI QIDQ372550

Li Sun, Haixia Lu, Jingxian Sun

Publication date: 9 October 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-56

zbMATH Keywords

latticefixed pointpositive solutionstopological degreenontrivial solutionselastic beam equations

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) 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) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

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Cites Work

• Iterative methods for a fourth order boundary value problem
• Existence of \(n\) solutions and/or positive solutions to a semipositone elastic beam equation
• Computation of topological degree in ordered Banach spaces with lattice structure and its application to superlinear differential equations
• Existence and iteration of monotone positive solutions for an elastic beam equation with a corner
• On positive solutions of some nonlinear fourth-order beam equations
• Positive solutions for eigenvalue problems of fourth-order elastic beam equations.
• Uniqueness of positive solutions for some nonlinear fourth-order equations
• The upper and lower solution method for some fourth-order boundary value problems
• Existence and uniqueness theorems for the bending of an elastic beam equation
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Uniqueness and exact multiplicity of solutions for a class of fourth-order semilinear problems
• Positive solutions for nonlinear elastic beam models

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