Some properties of pseudo-almost automorphic functions and applications to abstract differential equations |
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| Authors: | Jin Liang Gaston M N’Guérékata Ti-Jun Xiao Jun Zhang |
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| Institution: | 1. Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, People’s Republic of China;2. Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, MD 21251, USA;3. School of Mathematical Sciences, Fudan University, Shanghai 200433, People’s Republic of China;4. Department of Mathematics, University of Science and Technology of China, Hefei, 230026, People’s Republic of China |
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| Abstract: | This paper is concerned with some properties of pseudo-almost automorphic functions, which are more general and complicated than pseudo-almost periodic functions. Using these properties, we establish an existence and uniqueness theorem for pseudo-almost automorphic mild solutions to semilinear differential equations in a Banach space. |
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| Keywords: | 44A35 42A85 42A75 |
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