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Banach空间中广义线性微分方程解对参数的连续依赖性
引用本文:苟海德,李宝麟. Banach空间中广义线性微分方程解对参数的连续依赖性[J]. 甘肃科学学报, 2012, 0(1): 1-5
作者姓名:苟海德  李宝麟
作者单位:西北师范大学数学与信息科学学院
基金项目:国家自然科学基金项目(11061031);甘肃省“555”创新人才工程资助项目;西北师范大学科技创新工程项目
摘    要:
利用Kurzweil-Stieltjes积分理论与正则函数的性质讨论了Banach空间中广义线性微分方程解对参数的连续依赖性,所得结果是对文献[5]中已有结果的本质推广.

关 键 词:Kurzweil-Stieltjes积分  Banach空间  广义线性微分方程  参数  连续依赖性

Continuous Dependence on a Parameter of Solutions of Generalized Linear Differential Equations in Banach Space
GOU Hai-de,LI Bao-lin. Continuous Dependence on a Parameter of Solutions of Generalized Linear Differential Equations in Banach Space[J]. Journal of Gansu Sciences, 2012, 0(1): 1-5
Authors:GOU Hai-de  LI Bao-lin
Affiliation:(College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China)
Abstract:
By using Kurzweil-Stieltjes integral theory and properties of regulated functions,we have discussed the continuous dependence on a parameter of solutions of generalized linear differential equations in Banach space and presented some new results,which are essential to the generalization of the known conclusions in[5].
Keywords:Kurzweil-Stieltjes integral  Banach space  generalized linear differential equation  parameter  continuous dependence
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