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一类具有优化调整状态的供应链系统的稳定性分析
引用本文:郭丽娜,王鲜霞,任杨莉. 一类具有优化调整状态的供应链系统的稳定性分析[J]. 数学的实践与认识, 2012, 42(12): 107-111
作者姓名:郭丽娜  王鲜霞  任杨莉
作者单位:太原理工大学数学系,山西太原,030024
摘    要:主要研究一类具有优化调整状态的供应链系统解的适定性问题,利用C_0-半群理论和谱分析的方法,得到了此系统存在惟一的时间依赖解,并且当时间趋于无穷时,该时间依赖解收敛于其稳态解,而其稳态解恰好是系统算子的0本征值对应的本征向量.

关 键 词:供应链系统  C_0-半群理论  渐近稳定性

Stability Analysis for a Supply Chain System with State of Optimal Adjustment
GUO Li-na , WANG Xian-xia , REN Yang-li. Stability Analysis for a Supply Chain System with State of Optimal Adjustment[J]. Mathematics in Practice and Theory, 2012, 42(12): 107-111
Authors:GUO Li-na    WANG Xian-xia    REN Yang-li
Affiliation:(Department of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China)
Abstract:This paper studies the well-posedness of a class of supply chain system with state of optimal adjustment.The unique existence and asymptotic stability of the system solution are obtained by using Co-semigroup theory and the method of spectrum analysis, and the stable system solution is the eigenfunction of the system operator in point 0.
Keywords:supply chain system  Co-semigroup theory  asymptotic stability
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