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

[21] Existence of positive periodic solutions for neutral logarithmic population model with multiple delays
Lu, SP
Ge, WG
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2004, 166 (02) : 371 - 383
[22] Existence of periodic solutions for differential equations with multiple delays under dichotomy condition
Parinya Sa Ngiamsunthorn
Advances in Difference Equations, 2015
[23] Existence of periodic solutions for differential equations with multiple delays under dichotomy condition
Ngiamsunthorn, Parinya Sa
ADVANCES IN DIFFERENCE EQUATIONS, 2015,
[24] Existence of positive periodic solutions for first-order nonlinear differential equations with multiple time-varying delays
Han, Xiaoling
Lei, Ceyu
OPEN MATHEMATICS, 2022, 20 (01): : 1380 - 1393
[25] Existence of Periodic Solutions of a Third-Order Nonlinear System
V. V. Fomichev
A. V. Il’in
A. I. Rogovskiy
R. R. Begishev
R. P. Mitrev
T. S. Todorov
Differential Equations, 2021, 57 : 1341 - 1357
[26] On the existence of periodic solutions for a nonlinear system of ordinary differential equations
Liu, ZL
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2000, 16 (03): : 505 - 514
[27] On the Existence of Periodic Solutions for a Nonlinear System of Ordinary Differential Equations
Zhaoli Liu
Acta Mathematica Sinica, 2000, 16 : 505 - 514
[28] Existence of Periodic Solutions of a Third-Order Nonlinear System
Fomichev, V. V.
Il'in, A., V
Rogovskiy, A., I
Begishev, R. R.
Mitrev, R. P.
Todorov, T. S.
DIFFERENTIAL EQUATIONS, 2021, 57 (10) : 1341 - 1357
[29] On the Existence of Periodic Solutions for a Nonlinear System of Ordinary Differential Equations
Zhaoli Liu Department of Mathematics
ActaMathematicaSinica(EnglishSeries), 2000, 16 (03) : 505 - 514
[30] Existence and uniqueness of periodic solutions for a kind of nonlinear nth order differential equations with delays
Shao, Weiwen
Zhang, Fuxing
Li, Ya
ANNALES POLONICI MATHEMATICI, 2008, 94 (01) : 15 - 27

← 1 2 3 4 5 →