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Almost automorphic solutions for abstract functional differential equations |
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| Authors: | Yoshiyuki Hino |
| Institution: | a Department of Mathematics and Informatics, Chiba University, 1-33 Yayoicho, Inageku, Chiba 263-8522, Japan b Department of Applied Mathematics, Okayama University of Science, 1-1 Ridaicho, Okayama 700-0005, Japan |
| Abstract: | For abstract linear functional differential equations with an almost automorphic forcing term, we establish a result on the existence of almost automorphic solutions, which extends the classical theorem due to Massera on the existence of periodic solutions for linear periodic ordinary differential equations. |
| Keywords: | Functional differential equations Uniform fading memory space Almost automorphic solutions Variation of constants formula |
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