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• W1844930144 abstract "In this article, by a concept of Stepanov type $mu$-pseudo almost automorphic functions developed recently, we investigate some new existence results on bounded solutions to a semilinear integro-differential equation in Banach spaces. We first establish a new composition theorem of such functions, and then we prove the main results via ergodicity and composition theorems of Stepanov type $mu$-pseudo almost automorphic functions combined with theories of uniformly exponentially stable and strongly continuous family of operators. These bounded solutions can cover (weighted) pseudo almost automorphic solutions with a Stepanov type forcing term as special cases." @default.
• W1844930144 created "2016-06-24" @default.
• W1844930144 creator A5063624423 @default.
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• W1844930144 date "2015-06-01" @default.
• W1844930144 modified "2023-10-18" @default.
• W1844930144 title "Some new results on bounded solutions to a semilinear integro-differential equation in Banach spaces" @default.
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• W1844930144 doi "https://doi.org/10.1216/jie-2015-27-2-153" @default.
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