Stability in nonlinear delay Volterra integro-differential systems

被引：8

作者：

Raffoul, Youssef ^{[1
]}

Unal, Mehmet ^{[2
]}

机构：

[1] Univ Dayton, Dept Math, Dayton, OH 45469 USA

[2] Sinop Univ, Fac Educ, TR-5700 Sinop, Turkey

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2014年 / 7卷 / 06期

关键词：

Volterra integro-differential equations; zero solution; stability; Lyapunov functional; EQUATION;

D O I：

10.22436/jnsa.007.06.05

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We employ Lyapunov functionals to the system of Volterra integro-differential equations of the form x'(t) = Px(t) - integral(t)(t-r) C(t, s)g(x(s))ds, and obtain conditions for the stability of the of the zero solution. In addition, we will furnish an example as an application. (C)2014 All rights reserved.

引用

页码：422 / 428

页数：7

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