S-asymptotically ω-periodic solution for a nonlinear differential equation with piecewise constant argument via S-asymptotically ω-periodic functions in the Stepanov sense - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Nonlinear Systems and Applications Année : 2018

S-asymptotically ω-periodic solution for a nonlinear differential equation with piecewise constant argument via S-asymptotically ω-periodic functions in the Stepanov sense

Résumé

In this paper, we show the existence of function which is not asymptotically periodic, but which is asymptotically periodic in the Stepanov sense. We give sufficient conditions for the existence and uniqueness of asymptotically omega periodic solutions for a nonautonomous differential equation with piecewise constant argument in a Banach space when omega is an integer. This is done using the Banach fixed point Theorem. An example involving the heat operator is discussed as an illustration of the theory.
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Dates et versions

hal-02067049 , version 1 (13-03-2019)

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  • HAL Id : hal-02067049 , version 1

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William Dimbour, Solym Manou-Abi. S-asymptotically ω-periodic solution for a nonlinear differential equation with piecewise constant argument via S-asymptotically ω-periodic functions in the Stepanov sense. Journal of Nonlinear Systems and Applications, 2018, 7 (1), pp.14-20. ⟨hal-02067049⟩
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