Premium
Periodic solutions of neutral differential models with state‐dependent delay and feedback control
Author(s) -
Yang Zhihui
Publication year - 2007
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.861
Subject(s) - mathematics , feedback control , continuation , control theory (sociology) , state (computer science) , set (abstract data type) , degree (music) , control (management) , differential equation , differential (mechanical device) , delay differential equation , mathematical analysis , computer science , algorithm , physics , control engineering , artificial intelligence , acoustics , engineering , programming language , aerospace engineering
In this paper, the author employs and develops the continuation theory and degree theory for k ‐set contractions to investigate the existence of positive periodic solutions of a general neutral functional system with feedback control state‐dependent and distributed delays. The results give new methods for studying neutral systems, which extend and improve existing results, and have further applications in many fields such as population dynamics. Copyright © 2007 John Wiley & Sons, Ltd.