一类广义线性常微分方程解对参数的连续依赖性  

Continuous Dependence of Solutions to Parameters of the First Class Generalized Linear Ordinary Differential Equations

作　　者：金培兵 李宝麟 Jin Peibing;Li Baolin(College of Mathematics and Statistics, Northwest Normal University ,Lanzhou 730070 ,Chin)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《甘肃科学学报》2018年第1期6-10,共5页Journal of Gansu Sciences

基　　金：国家自然科学基金项目(11061031)

摘　　要：研究一类广义线性常微分方程解对参数的连续依赖性,利用Kurzweil积分理论与正则函数的相关性质,在Kuezweil积分下,根据广义常微分方程解对参数的连续依赖性,证明了含有Perron乘积积分表示的矩阵函数的广义线性微分方程解对参数的连续依赖性定理。Continuous dependence of solutions to parameters of the first class generalized linear ordinary differential equations is studied here.With related properties of Kurzweil integral theory and regular function and Kuezweil integration,the theory is proved that the solution of matrix function generalized linear differential equation which is expressed with Perron product integration is dependent on parameter.

关 键 词：广义线性常微分方程 Kuezweil积分 正则函数 参数连续依赖性 Perron乘积积分 

分 类 号：O175.12[理学—数学]