On the existence of periodic solutions for nonlinear system with multiple delays

被引：0

作者：

Cao Xian-bing

机构：

[1] Beijing Technology and Business University,Basic Sciences Department

来源：

Applied Mathematics and Mechanics | 2003年 / 24卷 / 1期

关键词：

multiple delays; periodic solution; topological degree; O175.12; 34C25;

D O I：

10.1007/BF02439385

中图分类号：

学科分类号：

摘要：

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.

引用

页码：117 / 122

页数：5

共 50 条

[41] The existence of positive periodic solutions for periodic feedback control systems with delays
Fan, GH
Li, YK
Qin, MC
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2004, 84 (06): : 425 - 430
[42] Existence of Positive Periodic Solutions for Periodic Neutral Lotka-Volterra System with Distributed Delays and Impulses
Luo, Zhenguo
Luo, Liping
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 2013
[43] Multiple periodic solutions of a generalized predator-prey system with delays
Zhang, Zhengqiu
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2006, 141 : 175 - 188
[44] Existence of solutions and periodic solutions for nonlinear evolution inclusions
Papageorgiou N.S.
Papalini F.
Renzacci F.
Rendiconti del Circolo Matematico di Palermo, 1999, 48 (2) : 341 - 364
[45] Existence of Periodic Solutions for a Nonlinear Discrete p-Laplacian System
Dimitrov, Nikolay D.
PROCEEDINGS OF THE 44TH INTERNATIONAL CONFERENCE "APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS", 2018, 2048
[46] EXISTENCE OF PERIODIC SOLUTIONS AND STABILITY FOR A NONLINEAR SYSTEM OF NEUTRAL DIFFERENTIAL EQUATIONS
Li, Yang
Chen, Guiling
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 2024 (21) : 1 - 21
[47] EXISTENCE OF MULTIPLE PERIODIC SOLUTIONS TO A NONLINEAR INTEGRAL EQUATION FROM THE THEORY OF EPIDEMICS
GaoZhanhai
LiSichun
生物数学学报, 1996, (02) : 11 - 16
[48] Existence and global stability of positive periodic solutions of a predator-prey system with delays
Wang, LL
Li, WT
APPLIED MATHEMATICS AND COMPUTATION, 2003, 146 (01) : 167 - 185
[49] Existence and global stability of periodic solutions of a discrete predator-prey system with delays
Huo, HF
Li, WT
APPLIED MATHEMATICS AND COMPUTATION, 2004, 153 (02) : 337 - 351
[50] On the Existence of Positive Periodic Solutions for Second-Order Functional Differential Equations with Multiple Delays
Li, Qiang
Li, Yongxiang
ABSTRACT AND APPLIED ANALYSIS, 2012,

← 1 2 3 4 5 →