Positive solutions and multiplicity of fourth-order \(m\)-point boundary value problems with two parameters

DOI10.1016/j.na.2006.08.001zbMath1122.34018OpenAlexW1996851750MaRDI QIDQ885333

Changci Pang, Zhongli Wei

Publication date: 8 June 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.08.001

zbMATH Keywords

fixed point index

Mathematics Subject Classification ID

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 (9)

On the existence of a solution of a boundary value problem on a graph for a nonlinear equation of the fourth order ⋮ New upper estimate for positive solutions to a second order boundary value problem with a parameter ⋮ Positive solution of fourth-order integral boundary value problem with two parameters ⋮ On linear and nonlinear fourth-order eigenvalue problems with nonlocal boundary condition ⋮ Multiple results to some biharmonic problems ⋮ Positive solutions of some nonlocal fourth-order boundary value problem ⋮ Existence of positive solutions for nonlocal fourth-order boundary value problem with variable parameter ⋮ Positive solutions for a higher-order four-point boundary value problem with a \(p\)-Laplacian ⋮ The existence of symmetric positive solutions of fourth-order elastic beam equations

Cites Work

• Unnamed Item
• Unnamed Item
• Existence and uniqueness theorems for fourth-order boundary value problems
• Existence and uniqueness results for the bending of an elastic beam equation at resonance
• A generalized multi-point boundary value problem for second order ordinary differential equations
• Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation
• Solvability of \(m\)-point boundary value problems with nonlinear growth
• Positive solutions of fourth-order boundary value problems with two parameters
• Positive solutions of fourth-order two point boundary value problems.
• Positive solutions for singular \(m\)-point boundary value problems with positive parameter.
• Positive solutions of \(m\)-point boundary value problems
• Multiplicity results for positive solutions of some semi-positone three-point boundary value problems
• The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems
• Fourth order two-point boundary value problems; estimates by two-sided bounds
• A Uniqueness Theorem for a Boundary Value Problem
• Existence of solutions of nonlinear \(m\)-point boundary-value problems

This page was built for publication: Positive solutions and multiplicity of fourth-order \(m\)-point boundary value problems with two parameters