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On Stepanov-like (pseudo) almost automorphic functions
Authors:Zhenbin Fan  Jin Liang  Ti-Jun Xiao
Affiliation:
  • a Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, PR China
  • b Department of Mathematics, Changshu Institute of Technology, Suzhou, Jiangsu 215500, PR China
  • c Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai 200433, PR China
  • Abstract:We prove new composition theorems for Stepanov-like almost automorphic and Stepanov-like pseudo-almost automorphic functions. An application is given to a class of evolution equations with Stepanov-like pseudo-almost automorphic perturbations.
    Keywords:Pseudo-almost automorphic   Stepanov-like almost automorphic   Composition theorem
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