| 脉冲时滞微分方程解的整体存在唯一性、振动性与非振动性 |
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| 引用本文： | 申建华.脉冲时滞微分方程解的整体存在唯一性、振动性与非振动性[J].数学学报,1997,40(1):53-59. |
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| 作者姓名： | 申建华 |
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| 作者单位： | 湖南师范大学数学系 长沙410081 |
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| 摘 要： | 本文讨论脉冲时滞微分方程X’(t)=f(t,x(t-T_1(t)),…,x(t-T_n(t))),x(t_k)-x(t_k~-)=I_k(x(t_k~- )).获得了方程(E) 解的一个整体存在唯一性定理.当(E)是线性方程时,给出了由时滞微分方程解的振动性或非振动性刻划出相应的脉冲时滞微分方程的同样性质的一般性脉冲条件.
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| 关 键 词： | 脉冲 时滞微分方程 整体存在唯一性 振动 非振动 |
| 收稿时间： | 1994-10-5 |
| 修稿时间： | 1995-11-9 |
Global Existence and Uniqueness, Oscillation and Nonoscillation of Impulsive Delay Differential Equations |
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| Shen Jianhua.Global Existence and Uniqueness, Oscillation and Nonoscillation of Impulsive Delay Differential Equations[J].Acta Mathematica Sinica,1997,40(1):53-59. |
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| Authors: | Shen Jianhua |
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| Institution: | Shen Jianhua
(Department of Mathematics, Hunan Normal University, Changsha 410081, China) |
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| Abstract: | Consider the impulsive delay differential equation
We obtain a global existence and uniqueness theorem of solutions of Eq.(E). General impulsive perturbed conditions are also obtained for the oscillatory or nonoscillatory behavior of all solutions when the corresponding linear delay differential equations has same behavior. |
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| Keywords: | Impulsive delay differential equations Existence and uniqueness Oscilla-tion Nonosillation |
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