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Compact almost automorphic solutions for some nonlinear dissipative differential equations in Banach spaces

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ABSTRACT The aim of this work is to prove the existence and uniqueness of compact almost automorphic solutions for some dissipative differential equations in Banach spaces when the input function… Click to show full abstract

ABSTRACT The aim of this work is to prove the existence and uniqueness of compact almost automorphic solutions for some dissipative differential equations in Banach spaces when the input function is only almost automorphic in the sense of Stepanov. Examples and a numerical simulation are provided to illustrate the theoretical findings.

Keywords: automorphic solutions; dissipative differential; almost automorphic; differential equations; equations banach; compact almost

Journal Title: Numerical Functional Analysis and Optimization
Year Published: 2018

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