Composition of Stepanov-like pseudo almost automorphic functions and applications to nonautonomous evolution equations |
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| Authors: | Zhenbin Fan Jin Liang |
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| Affiliation: | a Department of Mathematics, Changshu Institute of Technology, Suzhou, Jiangsu 215500, PR Chinab Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, PR Chinac School of Mathematical Sciences, Fudan University, Shanghai 200433, PR China |
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| Abstract: | In this paper, we establish a new composition theorem about Stepanov-like pseudo almost automorphic functions under the local Lipschitz condition. Using this composition theorem, we also study the existence and uniqueness of pseudo almost automorphic solutions for nonautonomous evolution equations. Our results extend many recent known ones on these topics. |
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| Keywords: | Almost automorphic Pseudo almost automorphic Stepanov-like pseudo almost automorphic Evolution family |
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