摘要
运用泛函分析的方法和线性算子半群理论,证明了严格占优本征值的存在性,并通过分析系统本质谱界经过扰动后的变化,进一步表明在一定的条件下,系统的动态解的指数形式收敛于系统的稳态解.
By use of functional analysis methods and linear operator semigroup theory, proved that the existence of strictly dominant eigenvalue. The essential spectral radius of the system operator is also discussed before and after perturbation. The results show that the dynamic solution of the system is exponential stability and tends to the steady solution of the system.
出处
《数学的实践与认识》
CSCD
北大核心
2010年第3期129-133,共5页
Mathematics in Practice and Theory
关键词
串联
严格占优本征值
本质谱界
指数稳定性
series
strictly dominant eigenvalue
essential spectrum
exponential stability
