Asymptotically ω-Periodic Functions in the Stepanov Sense and Its Application for an Advanced Differential Equation with Piecewise Constant Argument in a Banach Space

Abstract : In this paper, we give sufficient conditions for the existence and uniqueness of asymptotically ω-periodic solutions for a nonlinear differential equation with piecewise constant argument in a Banach space via asymptotically ω-periodic functions in the Stepanov sense. This is done using the Banach fixed point Theorem.
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Submitted on : Monday, March 25, 2019 - 12:36:24 PM
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William Dimbour, Solym Manou-Abi. Asymptotically ω-Periodic Functions in the Stepanov Sense and Its Application for an Advanced Differential Equation with Piecewise Constant Argument in a Banach Space. Mediterranean Journal of Mathematics, Springer Verlag, 2018, 15 (1), ⟨10.1007/s00009-018-1071-6⟩. ⟨hal-02067045⟩

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