摘要
利用C0-半群理论证明了具有两个状态的可修复系统非负解的存在唯一性,并研究了相应算子的谱特征,通过分析本质谱界经过扰动后的变化,得到系统动态解以指数形式收敛于稳态解.
The existence of a unique nonegative time-dependent solution of repairable system with two state is obtained by using C0-Semigroup theory. And we study the spectral properties of the system. Then the essential spectral bound is discussed by using perturbation method. Lastly, we get the result that the dynamic solution of the system exponentially tends to the steady solution.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第12期214-218,共5页
Mathematics in Practice and Theory
关键词
C0-半群
本质谱界
指数稳定性
C0-semigroup
essential spectral bound
exponential stability
