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Scholars Journal of Physics, Mathematics and Statistics | Volume-6 | Issue-05
New Composition Theorem for -(Pseudo) Almost Automorphic Functions and its Application
Hou Rong, Tang Chao
Published: May 30, 2019 | 137 86
DOI: 10.21276/sjpms.2019.6.5.1
Pages: 95-104
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Abstract
In this paper, we prove new composition theorems for generalized Stepanov-like almost automorphic functions and generalized Stepanov-like pseudo almost automorphic functions. And applying the Banach fixed point theorem, we study the existence and uniqueness of pseudo almost automorphic solutions to a class of semilinear integral equations. Keywords: composition theorems, generalized Stepanov-like pseudo almost automorphic, Banach fixed point theorem.