Multiple solutions for fourth-order boundary value problem

DOI10.1016/j.jmaa.2005.04.008zbMath1094.34012OpenAlexW2035889122MaRDI QIDQ2581472

Changci Pang, Wei Dong, Zhongli Wei

Publication date: 10 January 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.04.008

zbMATH Keywords

fixed point indexLeray-Schauder degreestwopoint fourth-order nonlinear boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Degree theory for nonlinear operators (47H11) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (16)

Positive solutions for a fourth-order boundary value problem ⋮ Existence and multiplicity of solutions to \(2m\)th-order ordinary differential equations ⋮ Multiple solutions of some boundary value problems with parameters ⋮ A numerical scheme for multi-point special boundary-value problems and application to fluid flow through porous layers ⋮ On linear and nonlinear fourth-order eigenvalue problems with nonlocal boundary condition ⋮ Positive solutions for a system of fourth-order \(p\)-Laplacian boundary value problems ⋮ Multiple sign-changing solutions to the Sturm-Liouville boundary value problem with resonance ⋮ Sign-changing solutions for nonlinear operator equations ⋮ Sign-changing solutions to second-order integral boundary value problems ⋮ Eigenfunction expansion method for multiple solutions of fourth-order ordinary differential equations with cubic polynomial nonlinearity ⋮ Multiple sign-changing solutions to semilinear elliptic resonant problems ⋮ Positive solutions of some nonlocal fourth-order boundary value problem ⋮ Sign-changing solutions for discrete second-order three-point boundary value problems ⋮ Existence of positive solutions for nonlocal fourth-order boundary value problem with variable parameter ⋮ Numerical methods for nonlinear fourth-order boundary value problems with applications ⋮ Positive and sign-changing solutions for fourth-order BVPs with parameters

Cites Work

• On fourth order boundary value problems arising in beam analysis
• Existence and uniqueness theorems for fourth-order boundary value problems
• Existence and uniqueness results for the bending of an elastic beam equation at resonance
• Nonresonance conditions for fourth order nonlinear boundary value problems
• The method of lower and upper solutions for fourth-order two-point boundary value problems
• Positive solutions of fourth-order boundary value problems with two parameters
• Positive solutions of fourth-order two point boundary value problems.
• The method of lower and upper solutions for a bending of an elastic beam equation
• A class of fourth order singular boundary value problems
• Existence and uniqueness theorems for the bending of an elastic beam equation
• Fourth-Order Two-Point Boundary Value Problems
• On the existence of positive solutions of fourth-order ordinary differential equations
• Existence for a Fourth-Order Boundary Value Problem under a Two-Parameter Nonresonance Condition
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