Existence of solutions for a fully nonlinear fourth-order two-point boundary value problem

DOI10.1007/s12190-010-0434-3zbMath1368.34032OpenAlexW1981539666MaRDI QIDQ2251737

Sung Kag Chang, Minghe Pei

Publication date: 15 July 2014

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-010-0434-3

zbMATH Keywords

existenceboundary value problemLeray-Schauder degree theoryNagumo condition

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20)

Related Items (8)

Existence results and numerical method for a fourth order nonlinear problem ⋮ Eigenvalues of a general class of boundary value problem with derivative-dependent nonlinearity ⋮ Existence-uniqueness and fixed-point iterative method for general nonlinear fourth-order boundary value problems ⋮ Analysis of optimal superconvergence of the local discontinuous Galerkin method for nonlinear fourth-order boundary value problems ⋮ Existence results and iterative method for solving the cantilever beam equation with fully nonlinear term ⋮ Eigenvalues of higher order Sturm-Liouville boundary value problems with derivatives in nonlinear terms ⋮ Solving the Dirichlet problem for fully fourth order nonlinear differential equation ⋮ Existence Results for a 2nth-Order Differential Equation with Sturm-Liouville Operator

Cites Work

• Unnamed Item
• Monotone iterative technique and symmetric positive solutions for a fourth-order boundary value problem
• Iterative methods for a fourth order boundary value problem
• A necessary and sufficient condition for existence of positive solutions of nonlinear boundary value problems
• Positivity and lower and upper solutions for fourth order boundary value problems
• Existence and uniqueness of solutions for a fourth-order boundary value problem
• Lower and upper solutions for a fully nonlinear beam equation
• Computation of displacements for nonlinear elastic beam models using monotone iterations
• Existence and uniqueness theorems for fourth-order boundary value problems
• Existence and uniqueness results for the bending of an elastic beam equation at resonance
• Solvability of some fourth (and higher) order singular boundary value problems
• The method of lower and upper solutions for second, third, fourth, and higher order boundary value problems
• The method of lower and upper solutions for fourth-order two-point boundary value problems
• A three point boundary value problem for nonlinear fourth order differential equations.
• The dual variational principle and equilibria for a beam resting on a discontinuous nonlinear elastic foundation
• Upper and lower solution methods for fully nonlinear boundary value problems
• Positive solutions for eigenvalue problems of fourth-order elastic beam equations.
• Fourth-order problems with nonlinear boundary conditions
• A numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations
• A monotone method for constructing extremal solutions to fourth-order periodic boundary value problems.
• The upper and lower solution method for some fourth-order boundary value problems
• Positive solutions for some beam equation boundary value problems
• Existence and uniqueness theorems for the bending of an elastic beam equation
• Existence for a Fourth-Order Boundary Value Problem under a Two-Parameter Nonresonance Condition

This page was built for publication: Existence of solutions for a fully nonlinear fourth-order two-point boundary value problem