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SM ISO690:2012 CHEBAN, David. Uniform exponential stability of linear almost periodic systems in banach spaces. In: Electronic Journal of Differential Equations, 2000, vol. 2000, pp. XXLV-XXLV. ISSN 1072-6691. |
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Electronic Journal of Differential Equations | ||||||
Volumul 2000 / 2000 / ISSN 1072-6691 /ISSNe 1550-6150 | ||||||
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Pag. XXLV-XXLV | ||||||
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This article is devoted to the study linear non-autonomous dynamical systems possessing the property of uniform exponential stability. We prove that if the Cauchy operator of these systems possesses a certain compactness property, then the uniform asymptotic stability implies the uniform exponential stability. For recurrent (almost periodic) systems this result is precised. We also show application for different classes of linear evolution equations: ordinary linear differential equations in a Banach space, retarded and neutral functional differential equations, and some classes of evolution partial differential equations. |
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Cuvinte-cheie Almost periodic system, Asymptotically compact systems, Exponential stability, global attractors, Non-autonomous linear dynamical systems |
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