Boundedness and exponential stability for periodic time dependent systems
نویسندگان
چکیده
منابع مشابه
Boundedness and Exponential Stability for Periodic Time Dependent Systems
The concept of asymptotical stability is fundamental in the theory of ordinary and partial differential equations. In this way the stability theory leads to the real world applications. The recent advances of stability theory interact with spectral theory, harmonic analysis, modern topics of complex functions theory and also with control theory. This note begins with the following simple remark...
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*Correspondence: [email protected] 1Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, People’s Republic of China Full list of author information is available at the end of the article Abstract In this paper, by using a fixed point theorem and the theory of calculus on time scales, we obtain some sufficient conditions for the existence and exponential stability of periodic sol...
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is stable. For infinite-dimensional systems the situation is more complicated. Although the eigenvalues still possess the same property as in the finite dimensional situation, they don’t longer rule the stability. Since many years it is an open question whether the stability of (1.1) and (1.2) are equivalent. For Banach spaces it is not hard to find a counter example, and so we concentrate on t...
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ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2009
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2009.1.37