On the stability and uniform stability of retarded integro-differential equations

被引：6
|
作者：
Tunc, Cemil [1 ]
Mohammed, Sizar Abid [2 ]
机构：
[1] Yuzuncu Yil Univ, Dept Math, Fac Sci, TR-65080 Van, Turkey
[2] Univ Duhok, Dept Mathematicsm, Coll Basic Educ, Zakho St 38, Aj Duhok 1006, Iraq
来源：
ALEXANDRIA ENGINEERING JOURNAL | 2018年 / 57卷 / 04期
关键词：
Non-linear; (VIDE); First order; Stability; Uniformly stability; Lyapunov functional; VOLTERRA; BOUNDEDNESS; BEHAVIORS;
D O I：
10.1016/j.aej.2017.11.018
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, the authors obtain new sufficient conditions for stability (S) and uniform stability (US) of solutions of the first order retarded Volterra integro-differential equations (VIDEs) in the form x' = A(t)x + integral(t)(t-tau) C(t, s)phi(s, x(s))ds + f(t, x, x(t - tau)). The analysis of the obtained (S) and (US) results mainly depend on the definition of an appropriate Lyapunov functional (LF). An example is provided to illustrate the effectiveness of the proposed results. MATLAB-Simulink is applied to show the behaviors of the paths of solutions of the considered (VIDEs) for a particular case. (C) 2018 Faculty of Engineering, Alexandria University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
引用
收藏
页码：3501 / 3507
页数：7
相关论文
共 50 条
12345