泛函微分方程解的有界性与概周期性

• 来源期刊: 微分方程年刊（英文版）
• 学科: 数学
• 关键词: functional differential equations exponentially asymptotical sta bility bounded solutions almost periodic solutions
• 年，卷（期）: 2001,（2）
• 页码范围: 111-115
• 页数: 5页
• 分类号: O1
• 语种: 英文

摘要

In this paper, by using phase space (Ch, |@ |h) (in short, space Ch) defined in [1], we study the existence on the bounded solutions and the almost periodic solutions for functional differential equations with infinite delay. By combining properties of space Ch and some techniques of Liapunov functional, we show that the h-exponentially asymptotical stability of solutions for the equations implies the existence of the bounded solutions and it guarantees the existence of the almost periodic solutions for the equations.