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Katznelson-Tzafriri type theorems for individual solutions of evolution equations |
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| Authors: | Nguyen Van Minh |
| Affiliation: | Department of Mathematics, University of West Georgia, Carrollton, Georgia 30118 |
| Abstract: | In this paper we present an extension of the Katznelson-Tzafriri Theorem to the asymptotic behavior of individual solutions of evolution equations  . The obtained results do not require the uniform continuity of solutions as well as the well-posedness of the equations. The method of study is based on a recently developed approach to the spectral theory of functions that is direct and free of  -semigroups. |
| Keywords: | Katznelson-Tzafriri Type Theorem reduced spectrum of a function asymptotic behavior |
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