Admissibility and nonuniform exponential dichotomy on the half-line
نویسندگان
چکیده
منابع مشابه
Exponential Stability, Exponential Expansiveness, and Exponential Dichotomy of Evolution Equations on the Half-line
For an evolution family on the half-line U = (U(t; s)) ts0 of bounded linear operators on a Banach space X we introduce operators G 0 ; G X and I X on certain spaces of X-valued continuous functions connected with the integral equation u(t) = U(t; s)u(s) + R t s U(t;)f()dd: We characterize exponential stability, exponential expansiveness and exponential dichotomy of U by properties of G 0 ; G X...
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ژورنال
عنوان ژورنال: Bulletin des Sciences Mathématiques
سال: 2013
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2012.11.002