Existence and approximation of solutions for a class of nonlinear impulsive functional differential equations with anti-periodic boundary conditions

This paper describes the method of quasilinearization for first-order nonlinear impulsive functional differential equations with anti-periodic boundary conditions. A monotone iterative technique coupled with lower and upper solutions is employed to obtain sequences of approximate solutions convergin...

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Bibliographic Details
Published in:Nonlinear analysis Vol. 69; no. 10; pp. 3291 - 3298
Main Authors: Ahmad, Bashir, Nieto, Juan J.
Format: Journal Article
Language:English
Published: Amsterdam Elsevier Ltd 15.11.2008
Elsevier
Subjects:
Difference and functional equations, recurrence relations
Exact sciences and technology
Finite differences and functional equations
Impulsive functional differential equations
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Quadratic convergence
Quasilinearization
Sciences and techniques of general use
34A37
Quadratic convergence
Quasilinearization
34B10
Impulsive functional differential equations
Approximation
Differential equation
Existence of solution
Nonlinear analysis
Functional equation
Impulsive equation
Boundary condition
Convergence
Non linear equation
Mathematical model
ISSN:0362-546X, 1873-5215
Online Access:Get full text
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Summary:This paper describes the method of quasilinearization for first-order nonlinear impulsive functional differential equations with anti-periodic boundary conditions. A monotone iterative technique coupled with lower and upper solutions is employed to obtain sequences of approximate solutions converging monotonically and quadratically to the unique solution of the problem at hand.
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ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2007.09.018