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Pseudo-almost automorphic mild solutions to nonautonomous differential equations and applications |
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| Authors: | Ti-Jun Xiao Xing-Xing Zhu Jin Liang |
| Institution: | 1. School of Mathematical Sciences, Fudan University, Shanghai 200433, PR China;2. Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, PR China;3. Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, PR China |
| Abstract: | In this paper, we introduce a new concept of bi-almost automorphic functions and obtain new existence and uniqueness theorems for pseudo-almost automorphic mild solutions to several nonautonomous differential equations. Moreover, two examples are given to illustrate the general theorems. |
| Keywords: | Pseudo-almost periodic Almost automorphic Pseudo-almost automorphic Bi-almost automorphic functions Nonautonomous evolution equations |
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