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- Title
Existence and Stability of Periodic Solution to Delayed Nonlinear Differential Equations.
- Authors
Xiang Gu; Huicheng Wang; Wong, P. J. Y.; Yonghui Xia
- 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.
- Subjects
NONLINEAR differential equations; LOTKA-Volterra equations; TOPOLOGICAL degree; SPECTRAL theory; LYAPUNOV functions
- Publication
Abstract & Applied Analysis, 2014, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2014/156948