A quasilinearization method for second-order four-point boundary value problems

DOI10.1016/j.amc.2008.01.026zbMath1161.65059OpenAlexW1983351973MaRDI QIDQ941474

Sung Kag Chang, Minghe Pei

Publication date: 1 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.01.026

zbMATH Keywords

upper and lower solutionsquadratic convergencequasilinearizationLeray-Schauder degreefour-point boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (10)

Eigenvalues of a general class of boundary value problem with derivative-dependent nonlinearity ⋮ On nonlocal three-point boundary value problems of Duffing equation with mixed nonlinear forcing terms ⋮ Approximation of solutions for second-order \(m\)-point nonlocal boundary value problems via the method of generalized quasilinearization ⋮ A second-order boundary value problem with nonlinear and mixed boundary conditions: existence, uniqueness, and approximation ⋮ Method of quasilinearization for a nonlocal singular boundary value problem in weighted spaces ⋮ Existence results for boundary value problems of differential inclusions with three-point integral boundary conditions ⋮ A generalized quasilinearization method for nonlinear second-order impulsive differential equations involving the \(p\)-Laplacian ⋮ A study of higher-order nonlinear ordinary differential equations with four-point nonlocal integral boundary conditions ⋮ Solving singular second order three-point boundary value problems using reproducing kernel Hilbert space method ⋮ An efficient technique to find semi-analytical solutions for higher order multi-point boundary value problems

Cites Work

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• Approximations and rapid convergence of solutions of nonlinear three point boundary value problems
• Multiple positive solutions for second-order four-point boundary value problem
• Triple positive pseudo-symmetric solutions to a four-point boundary value problem with \(p\)-Laplacian
• Generalized approximations and rapid convergence of solutions of \(m\)-point boundary value problems
• The generalized quasilinearization technique for a second order differential equation with separated boundary conditions
• Existence and approximation of solutions of second-order nonlinear four point boundary value problems
• Generalized quasilinearization method for second-order boundary value problems
• A quadratic monotone iteration scheme for two-point boundary value problems for ordinary differential equations
• Generalized quasilinearization method for a second order ordinary differential equation with Dirichlet boundary conditions
• On four-point boundary value problem without growth conditions
• THE METHOD OF QUASILINEARIZATION AND A THREE-POINT BOUNDARY VALUE PROBLEM
• Extension of the method of generalized quasilinearization for second order boundary value problems
• The Bellmann-Kalaba-Lakshmikantham quasilinearization method for Neumann problems
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