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Global attractivity of periodic solution for neutral functional differential system with multiple deviating arguments
Authors:Kai Wang
Affiliation:Institute of Dynamical Systems, School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233030, People's Republic of China
Abstract:In this paper, a kind of neutral functional differential system with multiple deviating arguments is considered. By means of Mawhin's coincidence degree theory and Lyapunov method, a sufficient condition is obtained for guaranteeing the existence and global attractivity of periodic solution for the system. It is interesting that the result is related to the multiple deviating arguments τi(i = 1, 2, …, m). An example is given to show the feasibility of the result in the last section. Copyright © 2011 John Wiley & Sons, Ltd.
Keywords:neutral functional differential system  periodic solution  global attractivity  deviating arguments
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