Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales

Authors : Belkis BORDJ, Abdelouaheb ARDJOUNİ

Pages : 180-192

Doi:10.31197/atnaa.691860

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Publication Date : 2021-06-30

Article Type : Research Paper

Abstract :Let T be a periodic time scale. The purpose of this paper is to use Schauder`s fixed point theorem to prove the existence of periodic and asymptotically periodic solutions of nonlinear coupled Volterra integro-dynamic systems with infinite delay on time scales. The results obtained here extend the work of Raffoul r1 .
Keywords : Fixed points, periodic solutions, asymptotically periodic solutions, Volterra integro dynamic systems, time scales