Abstract and Applied Analysis (Jan 2014)

Existence and Stability of Periodic Solution to Delayed Nonlinear Differential Equations

  • Xiang Gu,
  • Huicheng Wang,
  • P. J. Y. Wong,
  • Yonghui Xia

DOI
https://doi.org/10.1155/2014/156948
Journal volume & issue
Vol. 2014

Abstract

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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.