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

被引：110

作者：

Ahmad, Bashir ^{[1
]}

Nieto, Juan J. ^{[2
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

[2] Univ Santiago Compostela, Dept Anal Matemat, Fac Matemat, Santiago De Compostela 15782, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 10期

关键词：

Impulsive functional differential equations; Quasilinearization; Quadratic convergence;

D O I：

10.1016/j.na.2007.09.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：3291 / 3298

页数：8

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