Existence and global attractivity of a positive periodic solution of a class of delay differential equation

被引：23

作者：

Li, YK ^{[1
]}

机构：

[1] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 1998年 / 41卷 / 03期

基金：

中国国家自然科学基金;

关键词：

delay differential equation; logistic equation; positive periodic solution; global attractivity; Fredholm mapping;

D O I：

10.1007/BF02879046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence and the global attractivity of a positive periodic solution of the delay differential equation (y) over dot(t) = y(t)F[t, y(t - tau(1)(t)),..., y(t - tau(n)(t))] are studied by using some techniques of the Mawhin coincidence degree theory and the constructing suitable Liapunov functionals. When these results are applied to some special delay bio-mathematics models, some new results are obtained, and many known results are improved.

引用

页码：273 / 284

页数：12

共 50 条

[1] Existence and global attractivity of a positive periodic solution of a class of delay differential equation
李永昆
Science China Mathematics, 1998, (03) : 273 - 284
[2] Existence and global attractivity of a positive periodic solution of a class of delay differential equation
Yongkun Li
Science in China Series A: Mathematics, 1998, 41 : 273 - 284
[3] Global attractivity of positive periodic solution for an impulsive delay differential equation
Hu, Xiaoling
Hu, Jian
Shi, Yang
Yan, Jurang
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2006, 13 : 221 - 222
[4] Global attractivity and positive almost periodic solution for delay logistic differential equation
Yang, Xitao
Yuan, Rong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (01) : 54 - 72
[5] Existence and global attractivity of periodic solution for an impulsive delay differential equation with Allee effect
Yan, JR
Zhao, AM
Yan, WP
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 309 (02) : 489 - 504
[6] EXISTENCE AND GLOBAL ATTRACTIVITY OF ALMOST PERIODIC SOLUTION TO A DELAYED DIFFERENTIAL EQUATION
Penghua Hong
Annals of Applied Mathematics, 2011, 27 (02) : 138 - 144
[7] EXISTENCE OF POSITIVE PERIODIC SOLUTION TO A CLASS OF NONAUTONOMOUS DIFFERENTIAL EQUATION WITH IMPULSES AND DELAY
Zhang Suping (Dept. of Math. and Physics
Annals of Applied Mathematics, 2009, (01) : 97 - 104
[8] EXISTENCE OF POSITIVE PERIODIC SOLUTION TO A CLASS OF NONAUTONOMOUS DIFFERENTIAL EQUATION WITH IMPULSES AND DELAY
Zhang Suping Dept of Math and Physics Anhui Institute of Architecture and Industry Hefei Jiang Wei School of Mathematical Science Anhui University Hefei
Annals of Differential Equations, 2009, 25 (01) : 97 - 104
[9] Existence and global attractivity of positive periodic solution for an impulsive delay population model
Wang, LL
Li, WT
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2005, 12 (3-4): : 457 - 468
[10] POSITIVE PERIODIC SOLUTION TO A CLASS OF NONLINEAR PERIODIC DIFFERENTIAL EQUATION WITH IMPULSES AND DELAY
Zhang Suping (Dept. of Math
Annals of Differential Equations, 2007, (01) : 104 - 112

← 1 2 3 4 5 →