| 李宝麟,周云菲.滞后型脉冲泛函微分方程有界性的Lyapunov逆定理[J].数学年刊A辑,2024,(1):97~108 |
| 滞后型脉冲泛函微分方程有界性的Lyapunov逆定理 |
| Converse Lyapunov Theorems on Boundedness of Impulsive Retarded Functional Differential Equations |
| Received:June 16, 2022 Revised:June 23, 2023 |
| DOI：10.16205/j.cnki.cama.2024.0007 |
| 中文关键词: kurzweil积分 Lyapunov泛函 饱和解 一致有界 |
| 英文关键词:Kurzweil integral Lyapunov functional Maximal solution Uniform boundedness |
| 基金项目:国家自然科学基金(No.12161080) |
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| 中文摘要: |
| 本文通过建立滞后型脉冲泛函微分方程饱和解的存在唯一性定理,在广义常微分方程与滞后型脉冲泛函微分方程等价的基础上,研究了滞后型脉冲泛函微分方程关于一致有界性的Lyapunov逆定理. |
| 英文摘要: |
| In this paper, The authors established the theorem of the existence and uniqueness of maximal solution of impulsive retarded functional differential equations, and on the basis of the equivalence relationship between the generalized ordinary differential equations and impulsive retarded functional differential equations, the converse Lyapunov theorems on uniform boundedness of impulsive retarded functional differential equations are established. |
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