On nonuniform exponential dichotomy of evolution operators in Banach spaces |
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Authors: | Mihail Megan Bogdan Sasu and Adina Luminia Sasu |
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Institution: | (1) Department of Mathematics, University of the West, Bul. V. Pârvan No. 4, 1900 Timi oara, România |
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Abstract: | The problem of nonuniform exponential dichotomy of evolution operators in Banach spaces is considered. Connections between this concept and admissibility of the pair (C
0,C
0) are established. Generalizations to the nonuniform case of some results of Van Min, Räbiger and Schnaubelt (MRS]) are obtained. It is shown that an implication from the uniform case is not true for nonuniform exponential dichotomy. The results are applicable for general time-varying linear equations with unbounded coefficients in Banach spaces. |
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Keywords: | 34D09 34D05 |
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