The Existence and Uniqueness of Periodic Solutions for Nonlinear Neutral dynamic equation with infinite delay on a Time Scale

IJSRP, Volume 11, Issue 10, October 2021 Edition [ISSN 2250-3153]

The Existence and Uniqueness of Periodic Solutions for Nonlinear Neutral dynamic equation with infinite delay on a Time Scale

Amira Ali Ben Fayed, Mohamed Illafe, Haitham A.Makzoum, Rafik.A.Elmansouri

Abstract: This paper aims to prove the existence and uniqueness of a nonlinear neutral dynamic equation with infinite delay using the Krasnoselskii fixed point method and the contraction mapping principle, respectively. Let T be a periodic time scale; we will consider the following nonlinear neutral dynamic:

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Amira Ali Ben Fayed, Mohamed Illafe, Haitham A.Makzoum, Rafik.A.Elmansouri (2021); The Existence and Uniqueness of Periodic Solutions for Nonlinear Neutral dynamic equation with infinite delay on a Time Scale; International Journal of Scientific and Research Publications (IJSRP) 11(10) (ISSN: 2250-3153), DOI: http://dx.doi.org/10.29322/IJSRP.11.10.2021.p11846