STABILITY OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

• 作者: Dishen Jiabu
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 中立型泛函微分方程 无限时滞 稳定性 LIAPUNOV函数 有界性
• 年，卷（期）: 2005,（3）
• 页码范围: 260-263
• 页数: 4页
• 分类号: O175

摘要

<正>In the phase space (Ch, |·|h), by using the Liapunov functional approach, sufficient and necessary criteria for the uniform stability and uniformly asymptotic stability of solutions to neutral-functional differential equations with infinite delay are established. We also prove that the uniformly asymptotic stability of the solutions implies the existence of the bounded ones.