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对n维非自治微分方程稳定性若干定理的推广
引用本文:张荣荣,秦宏立,薛巧梅.对n维非自治微分方程稳定性若干定理的推广[J].西南民族学院学报(自然科学版),2009,35(1):63-66.
作者姓名:张荣荣  秦宏立  薛巧梅
作者单位:延安大学数学与计算机科学学院,陕西延安716000
摘    要:本文讨论了一般的n维非自治微分方程零解的稳定性,在文献1,2]的基础上得出了该微分方程零解稳定性的若干判定定理.并举例说明了其结果的优点.

关 键 词:非自治  稳定  一致渐近稳定  全局渐近稳定

The generalization of certain theorems on stability of non-autonomous differential equation of n-dimensional
ZHANG Rong-rong,QIN Hong-li,XUE Qiao-mei.The generalization of certain theorems on stability of non-autonomous differential equation of n-dimensional[J].Journal of Southwest Nationalities College(Natural Science Edition),2009,35(1):63-66.
Authors:ZHANG Rong-rong  QIN Hong-li  XUE Qiao-mei
Institution:(School of Mathematics and Computer Science, Yan'an University, Yan'an716000, ER.C.)
Abstract:This paper discusses the stability of null solution of non-autonomous differential equation of n-dimens-Ional. On the basis of papers1- 2, several theorems are obtained in this article. Examples are employed to illustrate the advantages of the results.
Keywords:non-autonomousness  stability  uniform stability  globally asymptotical stability
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