Asymptotic stability of certain neutral differential equations

被引：61
|
作者：
Agarwal, RP
Grace, SR
机构：
[1] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore
[2] Cairo Univ, Fac Engn, Dept Engn Math, Giza 12221, Egypt
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2000年 / 31卷 / 8-9期
关键词：
neutral differential equations; neutral logistic equations; neural networks; asymptotic stability;
D O I：
10.1016/S0895-7177(00)00056-X
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
Sufficient conditions for all solutions of the neutral differential equations of the form d/dt (x(t) + c(t)x(t-tau)) + p(t)x(t) + q(t)x(t-sigma) = 0 to approach sere as t --> infinity are established. Some applications to neutral logistic equations and neural networks of neutral type are also presented. (C) 2000 Elsevier Science Ltd. All rights reserved.
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页码：9 / 15
页数：7
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