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Volume 7, Number 4, 2017, Pages 1357-1384                                                                DOI:10.11948/2017083
Periodic solutions for a type of neutral system with variable parameters
Bo Du,Weigao Ge
Keywords:Periodic solution, coincidence degree, neutral system.
Abstract:
      In this paper, we firstly analyze some properties of the linear difference operator $[Ax](t)=x(t)-C(t)x(t-\tau),$ where $C(t)$ is a $n\times n$ matrix function, and then using Mawhin''s continuation theorem, a first-order neutral functional differential system is studied. Some new results on the existence and stability of periodic solutions are obtained. The results are related to the deviating arguments $\tau$ and $\mu$. Meanwhile, the approaches to estimate a $prior$ bounds of periodic solutions are different from the corresponding ones of the known literature.
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