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Almost periodicity in Fréchet spaces |
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| Authors: | Dariusz Bugajewski |
| Affiliation: | a Faculty of Mathematics and Computer Science, A. Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland b Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, MD 21251, USA |
| Abstract: | In this paper we deal with almost periodic functions with values in a Fréchet space. We apply obtained results to prove the existence of solutions of the initial value problem as well as the Volterra integral equation in this class of functions. We also introduce and investigate asymptotically almost periodic functions with values in a Fréchet space. |
| Keywords: | Almost periodicity Asymptotically almost periodicity Fré chet space Initial value problem Volterra integral equation |
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