The iterative solutions for some fourth-order \(p\)-Laplace equation boundary value problems

DOI10.1016/j.aml.2004.10.010zbMath1092.34510OpenAlexW2051029427MaRDI QIDQ812737

Weigao Ge, Zhanbing Bai, Bingjia Huang

Publication date: 24 January 2006

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

Full work available at URL: https://doi.org/10.1016/j.aml.2004.10.010

zbMATH Keywords

monotone iteration

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45)

Related Items (22)

New existence theory of positive solutions to fourth order \(p\)-Laplacian elasticity problems ⋮ New results for positive solutions of singular fourth-order four-point \(p\)-Laplacian problem ⋮ The method of lower and upper solutions for \(2n\)th-order multi-point boundary value problems ⋮ Existence of periodic solutions for a fourth-order \(p\)-Laplacian equation with a deviating argument ⋮ Uniqueness result and iterative method for fourth order \(p\)-Laplacian integral boundary value problems with different nonlinear terms ⋮ Monotone iterative technique and symmetric positive solutions for a fourth-order boundary value problem ⋮ Multiple positive solutions of fourth-order impulsive differential equations with integral boundary conditions and one-dimensional \(p\)-Laplacian ⋮ Positive solutions for a fourth order \(p\)-Laplacian boundary value problem ⋮ Positive solution of fourth-order integral boundary value problem with two parameters ⋮ A class of numerical methods for the solution of fourth-order ordinary differential equations in polar coordinates ⋮ Positive solutions for classes of multi-parameter fourth-order impulsive differential equations with one-dimensional singular \(p\)-Laplacian ⋮ Triple positive solutions of fourth-order four-point boundary value problems for \(p\)-Laplacian dynamic equations on time scales ⋮ Periodic solutions for a fourth-order \(p\)-Laplacian differential equation with a deviating argument ⋮ Triple positive solutions of fourth-order impulsive differential equations with integral boundary conditions ⋮ Positive solutions for \(p\)-Laplacian fourth-order differential system with integral boundary conditions ⋮ Impulsive boundary value problems involving the one-dimensional \(p\)-Laplacian ⋮ Impulsive boundary value problems with integral boundary conditions and one-dimensional \(p\)-Laplacian ⋮ AN INEXACT NEWTON METHOD WITH INNER PRECONDITIONED CG FOR NON-UNIFORMLY MONOTONE ELLIPTIC PROBLEMS ⋮ Monotone positive solutions for a fourth order equation with nonlinear boundary conditions ⋮ Positive solutions of \(n\)th-order impulsive boundary value problems with integral boundary conditions in Banach spaces ⋮ ITERATIVE METHOD FOR A CLASS OF FOURTH-ORDER <i>P</i>-LAPLACIAN BEAM EQUATION ⋮ Some existence results of positive solutions for \(p\)-Laplacian systems

Cites Work

• Unnamed Item
• On fourth order boundary value problems arising in beam analysis
• Computation of displacements for nonlinear elastic beam models using monotone iterations
• 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
• The method of lower and upper solutions for a bending of an elastic beam equation
• Multiplicity of positive solutions for second-order three-point boundary value problems
• Existence and multiplicity of positive solutions for a fourth-order \(p\)-Laplace equation
• Solvability of three point boundary value problems at resonance
• A maximum principle for fourth order ordinary differential equations
• Compactness of the support in convex and nonconvex fourth order elasticity problems
• On fourth-order elliptic boundary value problems

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