|
| 摘要: |
| 本文研究了一类固定时刻线性脉冲微分方程解的存在唯一性问题，利用广义常微分方程理论，证明了此类脉冲微分方程初值问题解的整体存在唯一性定理，推广了具有逐段连续系数的线性脉冲微分方程解的整体存在唯一性结果. |
| 关键词: 线性脉冲微分方程 Kurzweil积分 广义常微分方程 存在唯一性 |
| DOI： |
| 分类号:O175.12 |
| 基金项目:国家自然科学基金资助（11761063）. |
|
| EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR INITIAL VALUE PROBLEMS OF A CLASS OF LINEAR IMPULSIVE DIFFERENTIAL EQUATIONS AT FIXED TIME |
|
LI Bao-lin,SONG Guo-xin
|
| Abstract: |
| In this paper, we study the existence and uniqueness of solutions for a class of linear impulsive differential equations at fixed times. By using the theory of generalized ordinary differential equations, we prove the global existence and uniqueness theorem of solutions for the initial value problem of such impulsive differential equations, and generalize the global existence and uniqueness result of solutions for linear impulsive differential equations with piecewise continuous coefficients. |
| Key words: Linear impulsive differential equations Kurzweil integral Generalized ordinary differential equation Existence and uniqueness |
