Study of the stability in nonlinear neutral differential equations with functional delay using Krasnoselskii-Burton's fixed-point

被引：6

作者：

Mesmouli, Mouataz Billah ^{[1
]}

Ardjouni, Abdelouaheb ^{[1
,2
]}

Djoudi, Ahcene ^{[1
]}

机构：

[1] Univ Annaba, Dept Math, Fac Sci, Appl Math Lab, Annaba 23000, Algeria

[2] Univ Souk Ahras, Dept Math & Informat, Fac Sci & Technol, Souk Ahras 41000, Algeria

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 243卷

关键词：

Fixed point; Stability; Delay; Nonlinear neutral equation; Large contraction mapping; Integral equation; THEOREM;

D O I：

10.1016/j.amc.2014.05.135

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use a modification of Krasnoselskii's fixed point theorem introduced by Burton (2002) (see [6] Theorem 3) to obtain stability results of the zero solution of the totally nonlinear neutral differential equations with functional delay x'(t) = -alpha(t)h(x(t - tau(t))) + d/dt Q(t, x(t- tau(t))) = G(t, x(t), x(t- tau(t))). The stability of the zero solution of this equation provided that h(0) = Q(t, 0) = G(t, 0, 0) = 0. The Caratheodory condition is used for the functions Q and G. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：492 / 502

页数：11

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