Quadratic approximation of solutions for differential equations with nonlinear boundary condi\-tions

DOI10.1016/j.camwa.2004.06.009zbMath1097.34008OpenAlexW2038910338MaRDI QIDQ1767874

Jankowski, Tadeusz

Publication date: 8 March 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.06.009

zbMATH Keywords

Existence of solutionsQuadratic convergenceMonotone sequencesLower and upper solutionsDifferential equations with nonlinear boundary conditions

Mathematics Subject Classification ID

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

Related Items

Convergence of solutions for functional integro-differential equations with nonlinear boundary conditions, A quasilinearization method for a class of second order singular nonlinear differential equations with nonlinear boundary conditions, A quasilinearization method for a class of integro-differential equations with mixed nonlinearities, Rapid convergence of solution for hybrid system with causal operators, Anti-periodic boundary value problems of second order impulsive differential equations, Solving nonlinear boundary value problems by a boundary shape function method and a splitting and linearizing method, Existence and approximation of solution of three-point boundary value problems on time scales, A second-order boundary value problem with nonlinear and mixed boundary conditions: existence, uniqueness, and approximation, Quadratic approximation of solutions for boundary value problems with nonlocal boundary conditions, On analytic and algebraic observability of nonlinear delay systems, Boundary shape function iterative method for nonlinear second-order boundary value problems with nonlinear boundary conditions

Cites Work

• Existence and monotone method for periodic solutions of first-order differential equations
• Existence principles for nonlinear resonant operator and integral equations
• Periodic boundary value problems for nonlinear first order ordinary differential equations
• Methods of generalized quasilinearization for periodic boundary value problems
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