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Global attractivity of periodic solution for neutral functional differential system with multiple deviating arguments
Author(s) -
Wang Kai
Publication year - 2011
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1437
Subject(s) - mathematics , coincidence , degree (music) , functional differential equation , lyapunov function , differential equation , differential (mechanical device) , mathematical analysis , control theory (sociology) , nonlinear system , computer science , thermodynamics , medicine , physics , alternative medicine , pathology , quantum mechanics , acoustics , control (management) , artificial intelligence
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 τ i ( 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.