Global attractivity and oscillation in a nonlinear delay equation

被引:44
作者
Yan, JR [1 ]
Feng, QX
机构
[1] Shanxi Univ, Dept Math, Taiyuan 030006, Shanxi, Peoples R China
[2] Shanxi Econ Univ, Dept Math, Taiyuan 030006, Shanxi, Peoples R China
基金
中国国家自然科学基金;
关键词
nonlinear delay equation; global attractivity; oscillation;
D O I
10.1016/S0362-546X(99)00182-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The global attractive and the oscillation of a unique positive periodic solution of a given delay periodic logistic equation is for all other positive solutions are explored. A lemma is used to prove the obtained results.
引用
收藏
页码:101 / 108
页数:8
相关论文
共 9 条
[1]  
Barbalat I., 1959, REV ROUMAINE MATH PU, V4, P267
[2]  
Gopalsamy K., 1982, Journal of Mathematical and Physical Sciences, V16, P469
[3]   ON THE OSCILLATION AND ASYMPTOTIC-BEHAVIOR OF N(T)=N(T)[A+BN(T-TAU)-CN2(T-TAU)] [J].
GOPALSAMY, K ;
LADAS, G .
QUARTERLY OF APPLIED MATHEMATICS, 1990, 48 (03) :433-440
[4]   ENVIRONMENTAL PERIODICITY AND TIME DELAYS IN A FOOD-LIMITED POPULATION-MODEL [J].
GOPALSAMY, K ;
KULENOVIC, MRS ;
LADAS, G .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 147 (02) :545-555
[5]  
KOCIC VL, 1993, DIFFERENTIAL INTEGRA, V6, P671
[6]   OSCILLATION AND GLOBAL STABILITY IN A DELAY LOGISTIC EQUATION [J].
LADAS, G ;
QIAN, C .
DYNAMICS AND STABILITY OF SYSTEMS, 1994, 9 (02) :153-162
[7]   ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF RETARDED DIFFERENTIAL-EQUATIONS [J].
LADAS, G ;
SFICAS, YG ;
STAVROULAKIS, IP .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 88 (02) :247-253
[8]   ON A PERIODIC DELAY POPULATION-MODEL [J].
LALLI, BS ;
ZHANG, BG .
QUARTERLY OF APPLIED MATHEMATICS, 1994, 52 (01) :35-42
[9]  
PHILOS CG, 1991, P AM MATH SOC, V111, P133