Quasilinearization for functional differential equations with retardation and anticipation

DOI10.1016/j.na.2008.02.079zbMath1162.34345OpenAlexW2092720844MaRDI QIDQ1005287

Zahia Drici, Farzana A. McRae, J. Vasundhara Devi

Publication date: 9 March 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.02.079

zbMATH Keywords

upper and lower solutionsquasilinearizationmonotone iterative techniqueexistence and uniqueness resultsfunctional differential equations with retardation and anticipation

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05) Theoretical approximation of solutions to functional-differential equations (34K07)

Related Items (10)

A periodic boundary value problem for nonlinear singular differential systems with `maxima' ⋮ Quasilinearization method for an impulsive integro-differential system with delay ⋮ An iterative scheme for numerical solution of Volterra integral equations using collocation method and Chebyshev polynomials ⋮ Quasilinear iterative scheme for a fourth-order differential equation with retardation and anticipation ⋮ Quasilinearization for initial value problems involving differential equations with ``maxima ⋮ A Bernstein polynomial approach for solution of nonlinear integral equations ⋮ The rapid convergence for nonlinear singular differential systems with "maxima ⋮ Numerical solution of nonlinear Volterra integral equations using the idea of quasilinearization ⋮ Monotone method for first order functional differential equations with retardation and anticipation ⋮ Bernstein collocation method for solving nonlinear Fredholm-Volterra integrodifferential equations in the most general form

Cites Work

• Monotone iterative technique for functional differential equations with retardation and anticipation
• Functional differential systems with retardation and anticipation
• Monotone iterative technique for delay differential equations
• Fixed point theorems of operators with ppf dependence in banach spaces
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