Estimates for Solutions to Neutral Differential Equations with Periodic Coefficients of Linear Terms

被引：13
作者：
Demidenko, G. V. [1 ]
Matveeva, I. I. [1 ]
Skvortsova, M. A. [1 ]
机构：
[1] Novosibirsk State Univ, Sobolev Inst Math, Novosibirsk, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2019年 / 60卷 / 05期
基金：
俄罗斯基础研究基金会;
关键词：
differential equation of neutral type; periodic coefficient; exponential stability; attraction domain; Lyapunov-Krasovskii functional; STABILITY; SYSTEMS;
D O I：
10.1134/S0037446619050069
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Under study are the systems of nonlinear delay differential equations of neutral type with periodic coefficients of linear terms. We establish sufficient conditions of exponential stability of the zero solution, point out the attraction domains of the zero solution, and provide estimates for solutions characterizing the stabilization rate at infinity.
引用
收藏
页码：828 / 841
页数：14
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