Almost periodic solutions of difference systems

被引：21

作者：

Zhang, SN ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math Appl, Shanghai 200240, Peoples R China

来源：

CHINESE SCIENCE BULLETIN | 1998年 / 43卷 / 24期

关键词：

difference systems; mean values of almost periodic sequences; almost periodic solutions; existence; uniqueness; uniform asymptotic stability;

D O I：

10.1007/BF03183502

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

For linear difference systems, a rather general result on the existence of almost periodic solutions is established, which also gives the explicit expression of the almost periodic solution in terms of the coefficient matrix and the nonhomogeneous term. The obtained result confirms not only the existence, but also the uniqueness as well as the uniform asymptotic stability of the almost periodic solution. As an application, a criterion on the existence of almost periodic solutions of the second order difference equations is derived.

引用

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页码：2041 / 2046

页数：6

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