Global attractivity of periodic solution for neutral functional differential system with multiple deviating arguments | Zendy

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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.

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