A New Existence Theory for Positive Periodic Solutions to a Class of Neutral Delay Model with Feedback Control and Impulse. (5th November 2013)

• Record Type: Journal Article
• Authors: Luo, Zhenguo; Huang, Jianhua; Dai, Binxiang
• Other Names: Ehrnström M. Academic Editor.; Islam S. U. Academic Editor.; Ólafsson G. Academic Editor.; Schimperna G. Academic Editor.; Wang L. Academic Editor.
• Is Part Of: ISRN mathematical analysis. Volume 2013(2013)
• Publication Date: 2013-11-05
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Periodicals; 515
• DOI: 10.1155/2013/695891
• Languages: English
• ISSNs: 2090-4657

Abstract

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.