Existence and Stability of Periodic Solution to Delayed Nonlinear Differential Equations. (13th April 2014)

• Record Type: Journal Article
• Authors: Gu, Xiang; Wang, Huicheng; Wong, P. J. Y.; Xia, Yonghui
• Other Names: Song Yongli Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-04-13
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/156948
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : The main purpose of this paper is to study the periodicity and global asymptotic stability of a generalized Lotka-Volterra's competition system with delays. Some sufficient conditions are established for the existence and stability of periodic solution of such nonlinear differential equations. The approaches are based on Mawhin's coincidence degree theory, matrix spectral theory, and Lyapunov functional.