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广义线性微分方程初值问题解对参数的连续依赖性

Continuous Dependence on a Parameter of Solutions of Initial Value Problems for Generalized Linear Differential Equation
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摘要 利用Kurzweil-Stieltjes积分理论讨论了文献[9]中广义线性微分方程dx=d[A]x+dg初值问题解对参数的连续依赖性. By using Kurzweil-Stieltjes integral theory,the continuous dependence on a parameter of solutions of initial value problems for generalized linear differential equation dx= d[A]x+dg in [9] is discussed.
出处 《甘肃科学学报》 2011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(10771171) 甘肃省555阶新人才工程资助项目 西北师范大学科技创新工程项目
关键词 广义线性微分方程 初值问题 Kurzweil-Stieltjes积分 参数的连续依赖性 正则函数 generalized linear differential equation r initial value problem Kurzweil-Stieltjes integral^con-tinuous dependence on a parameter regulated function
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参考文献10

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  • 2Ashordia M. On the Correctness of Linear Boundary Value Problems for Systems of Generalized Ordinary Differential Equations[J]. Proceedings of the Georgian Academy of Sciences. Math. , 1993,1(2) : 129-141.
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  • 10姜旭东,李宝麟.一类固定时刻脉冲微分系统Φ-有界变差解的唯一性[J].甘肃科学学报,2010,22(2):123-128. 被引量:8

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