Existence of solutions for fourth order differential equation with four-point boundary conditions

DOI10.1016/j.aml.2006.11.013zbMath1140.34308OpenAlexW2072481813WikidataQ115360957 ScholiaQ115360957MaRDI QIDQ2470346

Chuanzhi Bai, Dandan Yang, Hongbo Zhu

Publication date: 14 February 2008

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.11.013

zbMATH Keywords

fixed pointnonlinear alternativeBoundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (14)

Existence and uniqueness of positive solutions for fourth-order \(m\)-point boundary value problems with two parameters ⋮ Unnamed Item ⋮ Uniqueness and parameter dependence of positive solution of fourth-order nonhomogeneous BVPs ⋮ Unnamed Item ⋮ A novel method for nonlinear singular fourth order four-point boundary value problems ⋮ Optimization of fourth-order discrete-approximation inclusions ⋮ A new algorithm for nonlinear fourth order multi-point boundary value problems ⋮ Existence of positive solutions for a fourth-order \(m\)-point boundary value problem ⋮ A new method for solving singular fourth-order boundary value problems with mixed boundary conditions ⋮ On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order ⋮ Unnamed Item ⋮ A method for high-order multipoint boundary value problems with Birkhoff-type conditions ⋮ Existence of solutions for fourth-order four-point boundary value problem on time scales ⋮ Multi-point boundary value problem of first order impulsive functional differential equations

Cites Work

• A necessary and sufficient condition for the existence of positive solutions of fourth-order singular boundary value problems
• On positive solutions of some nonlinear fourth-order beam equations
• Positive solutions of second-order three-point boundary value problems with change of sign
• Three solutions for three-point boundary value problems
• Positive solution of fourth order ordinary differential equation with four-point boundary condi\-tions
• Existence of at least three solutions of a second-order three-point boundary value problem
• Existence of a solution of a three-point boundary value problem and the spectral radius of a related linear operator
• On a nonlinear boundary value problem for fourth order equations
• Multiple solutions and eigenvalues for third-order right focal boundary value problems
• Unnamed Item
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