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

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

Bashir Ahmad and Juan J. Nieto
Nonlinear analysis, Vol.69(10), pp.3291-3298
15/11/2008
DOI: https://doi.org/10.1016/j.na.2007.09.018

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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. (c) 2007 Elsevier Ltd. All rights reserved.

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