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Periodic and Asymptotically Periodic Solutions for Neutral Nonlinear Coupled Volterra Integro-Differential Systems with Two Variable Delays
by Bouzid Mansouri   Abdelouaheb Ardjouni   Ahcene Djoudi  

Vol. 16 No. 4 (2021) P.339~P.366
DOI: https://doi.org/10.21915/BIMAS.2021404
  10.21915/BIMAS.2021404

ABSTRACT

In this paper, we study the existence of periodic and asymptotically periodic solutions of neutral nonlinear coupled Volterra integro-differential systems. We furnish sufficient conditions for the existence of such solutions. Krasnoselskii’s fixed point theorem is used in this analysis.


KEYWORDS
Volterra integro-differential equations, neutral differential equations, periodic solutions, asymptotic periodic solutions, Krasnoselskii fixed point theorem

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 34K20, 45J05, 45D05

MILESTONES

Received: 2021-12-12
Revised :
Accepted: 2021-12-21


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