Mathematics, Vol. 11, Pages 2676: Asymptotic Behavior of Solutions in Nonlinear Neutral System with Two Volterra Terms

Mathematics, Vol. 11, Pages 2676: Asymptotic Behavior of Solutions in Nonlinear Neutral System with Two Volterra Terms

Mathematics doi: 10.3390/math11122676

Authors: Mouataz Billah Mesmouli Abdelouaheb Ardjouni Hicham Saber

In this manuscript, we generalise previous results in the literature by providing sufficient conditions for the matrix measure to guarantee the stability, asymptotic stability and exponential stability of a neutral system of differential equations. This is achieved by constructing a suitable operator from our system and applying the Banach fixed point theorem.