Citation
Xk. Huang et Qx. Dong, On the existence of periodic solutions to higher dimensional periodic system with delay, APP MATH ME, 20(8), 1999, pp. 908-911
Citations number
2
Categorie Soggetti
Mechanical Engineering
Journal title
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN journal
02534827
→ ACNP
Volume
20
Issue
8
Year of publication
1999
Pages
908 - 911
Database
ISI
SICI code
0253-4827(199908)20:8<908:OTEOPS>2.0.ZU;2-V
Abstract
In this paper, higher dimensional periodic systems with delay of the form
x'(t) = A(t,x(t))x(t) + f(t,x(t-tau)), x'(t) = grad G(x(t)) + f(t,x(t-tau))
are considered. Using the coincidence degree method, some sufficient condit
ions to guarantee the existence of periodic solution for these systems are
obtained. As an application of the results, the existence of a positive per
iodic solution for a logarithmic population model is proved.