一类脉冲时刻依赖于状态的线性常微分方程  

Linear Differential Equation with Impulses at Variable Times

作　　者：康英[1] 彭云飞[1] 

机构地区：[1]贵州大学数学系,贵州贵阳550025

出　　处：《贵州大学学报（自然科学版）》2011年第1期1-4,13,共5页Journal of Guizhou University:Natural Sciences

基　　金：国家自然科学基金(10961009);霍英东教育基金(121104);贵州大学博士人才基金(2010031)

摘　　要：本文讨论一类脉冲时刻依赖于状态的线性微分方程的初值问题,给出了解的存在唯一性。进而推广连续依赖性的概念,在新的意义下,获得了解连续依赖于初值和参数。所得结论有助于深入揭示脉冲时刻依赖于状态的微分方程的本质属性。In this paper,a class of initial value problem of the linear differential equations with impulses at variable times was explored.The existence and uniqueness of solution were given.At same time,modifying the classical definition of continuous dependence,the continuity of solution with respect to the initial value and the parameter were presented.It is useful to further reveal the essential nature of the differential equation with impulses at variable times.

关 键 词：脉冲依赖于状态的微分方程 解 连续依赖性 

分 类 号：O175.12[理学—数学]