Solving boundary value problems for delay differential equations by a fixed-point method

DOI10.1016/j.cam.2011.09.021zbMath1269.65067OpenAlexW2078551425MaRDI QIDQ654780

Zbigniew Bartoszewski

Publication date: 21 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.cam.2011.09.021

zbMATH Keywords

fixed-point problemsboundary value problems for differential equations with deviated argumentsnumerical methods for boundary value problems for differential equations with deviated arguments

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Boundary value problems for functional-differential equations (34K10) Numerical methods for functional-differential equations (65L03)

Related Items (3)

Methods of continuation and their implementation in the COCO software platform with application to delay differential equations ⋮ Analytical solutions for the elastic circular rod nonlinear wave, Boussinesq, and dispersive long wave equations ⋮ SOLVING BOUNDARY VALUE PROBLEMS FOR SECOND ORDER SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS BY Ε-APPROXIMATE FIXED-POINT METHOD

Cites Work

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• On a boundary value problem for delay differential equations of population dynamics and Chebyshev approximation
• A new approach to numerical solution of fixed-point problems and its application to delay differential equations
• Global existence of positive periodic solutions for a distributed delay competition model
• Periodic solutions for delay Lotka-Volterra competition systems
• Periodic solutions for delay differential equations model of plankton allelopathy
• Dynamic behaviors of a delay differential equation model of plankton allelopathy
• A Newton-Picard collocation method for periodic solutions of delay differential equations
• Periodic solution for a two-species nonautonomous competition Lotka-Volterra patch system with time delay

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