- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 5 Issue: 2
- Periodic and asymptotically periodic solutions in nonlinear coupled Volterra integro-dynamic systems...
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
View : 5 | Download : 4
Publication Date : 2021-06-30
Article Type : Research
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