A NECESSARY AND SUFFICIENT CONDITION FOR ASYMPTOTIC STABILITY OF A FIRSTORDER DELAY EQUATION WITH TWO DELAYS

• 作者: 任洪善
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 充分必要条件 渐近可展函数 渐近稳定度 平方根 延迟
• 年，卷（期）: 2004,（1）
• 页码范围: 59-69
• 页数: 11页
• 分类号: O175.13

摘要

Consider the following equation x(t)+b/2(平方根）x(t)+bx(t-r)+cx(t-2r)=0,where b, c and r are constants, and r > O, bc≠O. In this paper, we establish a necessary and sufficient condition for zero solution of Eq.(*) to be asymptotically stable, which is easy to verify and apply.