Upper and lower solution method for fourth-order four-point boundary value problems

DOI10.1016/j.cam.2005.09.007zbMath1102.65084OpenAlexW3005644401MaRDI QIDQ5920631

Qin Zhang, Jinhu Lü, Shi-hua Chen

Publication date: 13 September 2006

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.09.007

zbMATH Keywords

monotone iterative techniquefourth-order ordinary differential equationfour-point boundary conditionslower and upper solution method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (22)

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Cites Work

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• Existence and uniqueness theorems for fourth-order boundary value problems
• Triple positive solutions of conjugate boundary value problems
• Upper and lower solutions and topological degree
• The method of lower and upper solutions for fourth-order two-point boundary value problems
• Existence results and numerical solutions for a beam equation with nonlinear boundary conditions.
• A numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations
• The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems
• Monotone method for second order periodic boundary value problems
• Fourth-Order Two-Point Boundary Value Problems
• On a nonlinear boundary value problem for fourth order equations
• Existence for a Fourth-Order Boundary Value Problem under a Two-Parameter Nonresonance Condition

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