文献类型：期刊文献

中文题名：具一组可修复设备的系统解的适定性和稳定性

英文题名：Well-posedness and stability of solution of a series system with repair facility

作者：汪文珑[1];许跟起[2]

机构：[1]绍兴文理学院数学系;[2]天津大学数学系

年份：2007

卷号：22

期号：4

起止页码：474

中文期刊名：高校应用数学学报：A辑

收录：CSTPCD、、北大核心2004、CSCD2011_2012、北大核心、CSCD

基金：国家自然科学基金(60473034;60474017);浙江省自然科学基金(102002)

语种：中文

中文关键词：可修复设备;适定性;G半群;耗散算子;渐近稳定性;严格占优本征值;指数;稳定性

外文关键词：repair facility; well-posedness; Co semigroup; dissipative operator; asymptotic stability; strictly dominant eigenvalue; exponential stability

中文摘要：研究具一组可修复设备的系统解的适定性和稳定性.使用泛函分析方法,特别是Banach空间上的线性算子理论和C_0半群理论,证明了系统解的适定性以及正解的存在性,证明了系统解的渐近稳定性,指数稳定性以及严格占优本征值的存在性,证实了实际问题中相关假设的合理性.

外文摘要：In this paper, the solution of a series system with repair facility is investigated. By using the method of functional analysis, especially, the linear operator theory and Co semigroup theory on Banach space, the well-posedness of solution and the existence of positive solution are studied. The asymptotic stability and exponential stability of solution are proved and the existence of strictly dominant eigenvalue is showed. The rationality of corresponding hypotheses in practical problem is completely solved.