关于无限维线性系统在生成的紧扰动下的非指数稳定性(英文)
Non-exponential Stability of Infinite Dimensional Linear Systems under Generating Compact Perturbation
摘要
分别证明了无限维自反Banach空间和无限维Hilbert空间中的反有界C0 群和C0 等距半群在生成的紧扰动下一定不具指数稳定性 。
The authors prove that an anti bounded C 0 group in infinite dimensional reflexive Banach spaces is not exponentially stable under generating compact perturbation, and that a C 0 isometric semigroup in infinite dimensional Hilbert spaces has the same property. So the results have extended and improved Russell theorem.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2003年第2期217-220,共4页
Journal of Sichuan University(Natural Science Edition)
基金
TheNSFofChina
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