On the Existence of Periodic Solutions for Nonlinear System With Multiple Delays

CAO Xian-bing

Volume 24 Issue 1

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(1): 105-110

CAO Xian-bing. On the Existence of Periodic Solutions for Nonlinear System With Multiple Delays[J]. Applied Mathematics and Mechanics, 2003, 24(1): 105-110.

Citation:

CAO Xian-bing. On the Existence of Periodic Solutions for Nonlinear System With Multiple Delays[J]. Applied Mathematics and Mechanics, 2003, 24(1): 105-110.

Citation:

CAO Xian-bing. On the Existence of Periodic Solutions for Nonlinear System With Multiple Delays[J]. Applied Mathematics and Mechanics, 2003, 24(1): 105-110.

PDF( 246 KB)

On the Existence of Periodic Solutions for Nonlinear System With Multiple Delays

CAO Xian-bing

Basic Sciences Department, Beijing Technology and Business University, Beijing 100037, China

Received Date: 2001-10-09
Rev Recd Date: 2002-09-26
Publish Date: 2003-01-15

Abstract

Abstract

The existence of T periodic solutions of the nonlinear system with multiple delays is studied. By using the topological degree method, sufficient conditions are obtained for the existence of T-periodic solutions. As an application, the existence of positive periodic solution for a logarithmic population model is established under some conditions.
- multiple delays,
- periodic solution,
- topological degree

FullText(HTML)

References(5)

References

[1]	Gaines R E,Mawhin J L.Coincidence degree and nonlinear differential equations[J].Lecture Notes in Mathematics,1977,568(2):10-35.
[2]	Gopalsmay K.Stability and Oscillations in Delay Differential Equations of Population Dynamics[M].Boston:Kluwer Academic Publisher,1992,44-88.
[3]	庾建设.非自治时滞微分方程的渐近稳定性[J].科学通报,1997,42(12):1284-1252.
[4]	Brower F E,Nussbaum R D.The topological degree for noncompact nonlinear mappings in Banach space[J].Bull Amer Math Soc,1968,74(3):671-676.
[5]	Hale J K,Mawhin J.Coincidence degree and periodic solutions of nuetral equations[J].J Differential Equations,1974,15(2):295-307.