Existence and stability of periodic solution to delayed nonlinear differential equations
Wong, P. J. Y.
Date of Issue2014
School of Electrical and Electronic Engineering
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.
DRNTU::Engineering::Electrical and electronic engineering
Abstract and applied analysis
Copyright © 2014 Xiang Gu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.