关于泛函微分系统的平稳振荡

数学物理学报 ›› 1998, Vol. 18 ›› Issue (S1): 76-82.

关于泛函微分系统的平稳振荡

孙继涛, 张银萍

上海铁道大学应用数学研究所上海 200331

收稿日期:1996-09-11 修回日期:1996-11-25 出版日期:1998-12-26 发布日期:1998-12-26
基金资助:
上海铁道大学科技发展基金资助项目

Stationary Oscillation for Higher Dimensions Functional Differential Systems

Sun Jitao, Zhang Yinping

Institute of Application Mathematics, Shanghai Tiedao University, Shaghai 200331

Received:1996-09-11 Revised:1996-11-25 Online:1998-12-26 Published:1998-12-26

摘要/Abstract

摘要： 该文对高维泛函微分系统引进S-稳定的概念,得到了较一般的关于高维泛函微分系统存在平稳振荡的充分条件.作为结果的应用,给出了一些泛函微分系统存在平稳振荡的简明判别准则.

关键词: 泛函微分系统, S-稳定, 平稳振荡

Abstract: This paper introduces a new concept of S-stability of the functional differential sys-tems and obtaines general stationary oscillation theorem. The results of papers[7-9] are im-proved and extended.

Key words: Functional differential system, S-stability, stationary oscillation

孙继涛, 张银萍. 关于泛函微分系统的平稳振荡[J]. 数学物理学报, 1998, 18(S1): 76-82.

Sun Jitao, Zhang Yinping. Stationary Oscillation for Higher Dimensions Functional Differential Systems[J]. Acta mathematica scientia,Series A, 1998, 18(S1): 76-82.

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