Existence of positive solutions for nonlocal fourth-order boundary value problem with variable parameter

DOI10.1155/2011/604046zbMath1225.34032OpenAlexW2079337392WikidataQ59267318 ScholiaQ59267318MaRDI QIDQ536876

Hongliang Gao, Xiaoling Han, Jia Xu

Publication date: 19 May 2011

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/230169

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (8)

A note on existence results for a nonlinear fourth-order integral boundary value problem ⋮ Existence of solutions for perturbed abstract measure functional differential equations ⋮ On the fourth-order nonlinear beam equation of a small deflection with nonlocal conditions ⋮ On the nonlinear system of fourth-order beam equations with integral boundary conditions ⋮ Positive solutions of a nonlinear fourth-order integral boundary value problem ⋮ Positive solutions of a fourth-order differential equation with integral boundary conditions ⋮ Eigenvalue problem for nonlinear elastic beam equation of fractional order ⋮ Positive solutions for a system of fourth-order differential equations with integral boundary conditions and two parameters

Cites Work

• Unnamed Item
• Unnamed Item
• Existence of positive solutions for fourth-order boundary value problem with variable parameters
• Positive solutions and multiplicity of fourth-order \(m\)-point boundary value problems with two parameters
• Existence of solutions for some fourth-order boundary value problems with parameters
• Positive solutions of some nonlocal fourth-order boundary value problem
• Positive solutions for a higher-order four-point boundary value problem with a \(p\)-Laplacian
• Existence and uniqueness of solutions for a fourth-order boundary value problem
• Local existence of multiple positive solutions to a singular cantilever beam equation
• Positive solutions of fourth-order boundary value problems with two parameters
• Positive solutions of fourth-order periodic boundary value problems
• The method of lower and upper solutions for a bending of an elastic beam equation
• The upper and lower solution method for some fourth-order boundary value problems
• Symmetric positive solutions for nonlocal boundary value problems of fourth order
• Existence and multiplicity of solutions for fourth-order boundary value problems with three parameters
• Existence of positive solutions of a fourth-order boundary value problem
• Multiple solutions for fourth-order boundary value problem

This page was built for publication: Existence of positive solutions for nonlocal fourth-order boundary value problem with variable parameter