Double Positive Solutions of Fourth-Order Nonlinear Boundary Value Problems

DOI10.1080/0003681031000063685zbMath1037.34017OpenAlexW2054184422WikidataQ58255810 ScholiaQ58255810MaRDI QIDQ4435636

Ge Weigao, Liu Yuji

Publication date: 17 November 2003

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0003681031000063685

zbMATH Keywords

conenonlinear boundary value problemsmultiple positive solutionsgeneralized Leggett-Williams fixed-point theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (6)

On multiple fixed-sign solutions of a discrete system with Hermite boundary conditions ⋮ Existence and global behavior of positive solutions for some fourth-order boundary value problems ⋮ Fully nonlinear fourth-order equations with functional boundary conditions ⋮ A monotone method for fourth order value problems involving a factorizable linear operator ⋮ Solutions of two-point BVPs at resonance for higher order impulsive differential equations ⋮ Multiple fixed-sign solutions for a system of difference equations with Sturm-Liouville conditions

Cites Work

• The method of lower and upper solutions for fourth-order two-point boundary value problems
• Twin solutions of boundary value problems for ordinary differential equations and finite difference equations
• Existnence and nonexistence of positive solutions of fourth order nonlinear boundary value problems

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