A New Existence Theory for Positive Periodic Solutions to a Class of Neutral Delay Model with Feedback Control and Impulse. (5th November 2013) - Luo, Zhenguo
Abstract : We acquire some sufficient and realistic conditions for the existence of positive periodic solution of a general neutral impulsive n -species competitive model with feedback control by applying some analysis techniques and a new existence theorem, which is different from Gaines and Mawhin's continuation theorem and abstract continuation theory for k -set contraction. As applications, we also examine some special cases, which have been studied extensively in the literature, some known results are improved and generalized.