参数化一阶脉冲微分方程解的存在性  

Existence of Solution of the Parameterized First-Order Impulsive Differential Equation

作　　者：朱先阳 

机构地区：[1]铜仁学院大数据学院数学与统计系,贵州 铜仁

出　　处：《理论数学》2024年第7期75-82,共8页Pure Mathematics

摘　　要：文章利用Banach压缩不动点原理,分析了一类参数化一阶脉冲微分方程,分别在两类初始值条件下证明了这类方程存在唯一解的充分条件,并对其解进行了延拓,且得到了这些结果可以应用于二阶脉冲微分方程的结论。In this paper, by using the Banach contraction fixed-point theorem, a class of parameterized first-order impulsive differential equations are analyzed, the sufficient conditions for the existence and uniqueness of solution of the equations are proved under two kinds of initial value conditions, respectively, and the continuation theorem of these solutions are shown that these results can be applied to second-order impulsive differential equations.

关 键 词：脉冲微分方程 解的存在唯一性 Banach压缩不动点原理 

分 类 号：O17[理学—数学]