Generalized monotone iterative method for initial value problems.

DOI10.1016/J.AML.2004.03.003zbMath1112.34304OpenAlexW1965261464MaRDI QIDQ1767214

I. H. West, Aghalaya S. Vatsala

Publication date: 7 March 2005

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

Full work available at URL: https://doi.org/10.1016/j.aml.2004.03.003

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45)

Related Items (13)

Iterative Techniques for Nonlinear Periodic Boundary Value Problems (PBVPs) via Initial Value Problems ⋮ Picard's iterative method for Caputo fractional differential equations with numerical results ⋮ Method of upper and lower solutions for nonlinear Caputo fractional difference equations and its applications ⋮ Unnamed Item ⋮ Higher even-order convergence and coupled solutions for second-order boundary value problems on time scales ⋮ Existence of solution for impulsive hybrid differential equation ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Generalized monotone iterative method for nonlinear boundary value problems with causal operators ⋮ Solutions for an operator equation under the conditions of pairs of paralleled lower and upper solutions ⋮ The monotone iterative technique for three-point second-order integrodifferential boundary value problems with \(p\)-Laplacian ⋮ Monotone method for a system of nonlinear mixed type implicit impulsive integro-differential equations in Banach spaces ⋮ Generalized quasilinearization method and higher order of convergence for second-order boundary value problems

Cites Work

• Monotone iterative techniques for nonlinear problems involving the difference of two monotone functions.
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