BOUNDEDNESS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS

• 作者: Li Hua Luo Zhiguo
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 脉冲函数 微分方程 有界限性 无限时滞 LYAPUNOV函数
• 年，卷（期）: 2005,（3）
• 页码范围: 311-316
• 页数: 6页
• 分类号: O175

摘要

<正>In this paper, we study the boundedness of a class of impulsive functional differential equations with infinite delays. We establish a uniform boundedness theorem and a uniformly ultimate boundedness theorem, which show that a certain impulsive perturbation can make an unbounded system into uniformly bounded, even uniformly ultimate bounded.