Stability of the Second Order Delay Differential Equations with a Damping Term

被引：14

作者：

Berezansky, Leonid ^{[1
]}

Braverman, Elena ^{[2
]}

Domoshnitsky, Alexander ^{[3
]}

机构：

[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

[2] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

[3] Ariel Univ Ctr, Dept Math & Comp Sci, IL-44837 Ariel, Israel

来源：

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2008年 / 16卷 / 03期

基金：

加拿大自然科学与工程研究理事会; 以色列科学基金会;

关键词：

Exponential stability; Nonoscillation; Positive fundamental function; Second order delay equations;

D O I：

10.1007/s12591-008-0012-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the delay differential equations (x) double under dot (t) + a(t) (x) over dot(g(t)) + b(t)x(h(t)) = 0, g(t) <= t, h(t) <= t, and (x) double under dot (t) + a(t) (x) over dot(g(t)) + b(t)x(h(t)) = a(1)(t)(x) over dot(g(t)) +b(1)(t)(x) over dot(h(t)) = 0 explicit exponential stability conditions are obtained. (C) 2008 Foundation for Scientific Research and Technological Innovation(FSRTI). All rights reserved.

引用

页码：185 / 205

页数：21