[1]汪东树,王全义.一类泛函微分方程零解的全局吸引性[J].华侨大学学报(自然科学版),2011,32(4):447-452.[doi:10.11830/ISSN.1000-5013.2011.04.0447]
　WANG Dong-shu,WANG Quan-yi.Global Attractivity of the Zero Solution of a Class of Functional Differential Equations[J].Journal of Huaqiao University(Natural Science),2011,32(4):447-452.[doi:10.11830/ISSN.1000-5013.2011.04.0447]
点击复制

一类泛函微分方程零解的全局吸引性()
分享到：

《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第32卷
期数:
2011年第4期
页码:
447-452
栏目:
出版日期:
2011-07-20

文章信息/Info

Title:
Global Attractivity of the Zero Solution of a Class of Functional Differential Equations
文章编号:
1000-5013(2011)04-0447-06
作者:
汪东树; 王全义
华侨大学数学科学学院
Author(s):
WANG Dong-shu;  WANG Quan-yi
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
广义Logistic型泛函微分方程;  全局吸引性;  振动;  非振动
Keywords:
super Logistic type functional differential equations;  global attractivity;  oscillation;  nonoscillation
分类号:
O175
DOI:
10.11830/ISSN.1000-5013.2011.04.0447
文献标志码:
A
摘要:
通过不等式的推导,研究广义Logistic型泛函微分方程x′(t)+[1+x(t)]F(t,x[.])=0零解的全局吸引性.其中:t≥0,0<α≤1且α为两正奇数之比,F(t,φ)是[0,+∞)×Ct上的连续泛函.将所得到的结果运用到方程讨论中,改进并推广了其他文献的一些结果.
Abstract:
Through the derivation of some inequlities,we study the global attractivity of the zero solution of the super Logistic type functional differential equatio.Where t≥0,0<α≤1 and α is two positive prime quotient,F(t,φ) is continuous function on [0,+∞)×Ct.Some new results are obtained,which inqorone and supplement some known result.

参考文献/References:

[1] 庾建设. 一类泛函微分方程零解的全局吸引性及应用 [J]. 中国科学A辑, 1996(1):23-33.
[2] CHEN M, YU J, ZENG D. Global attractivity in a generalized nonautonomous delay logistic equation [J]. Bulletin of Institute of Mathematics Academia Sinica, 1994(2):91-99.
[3] LI Jing-wer. Global attractivity in a generalized delay logistic equation [J]. Applied Mathematics A Journal of Chinese Universities, 1996, (B):165-174.
[4] 王晓萍, 廖六生. 广义Logistic型泛函微分方程零解的全局吸引性 [J]. 应用数学学报, 2004(1):172-179.doi:10.3321/j.issn:0254-3079.2004.01.019.
[5] 冯伟, 段永瑞, 燕居让. 一类非自治非线性时滞微分方程的全局吸引性 [J]. 应用数学学报, 2002(2):216-222.doi:10.3321/j.issn:0254-3079.2002.02.003.
[6] 唐先华, 庾建设. Logistic型脉冲泛函微分方程零解的全局吸引性 [J]. 数学学报, 2002(5):941-952.doi:10.3321/j.issn:0583-1431.2002.05.016.

相似文献/References:

[1]汪东树,王全义.广义Logistic型泛函微分方程零解的全局吸引性[J].华侨大学学报(自然科学版),2011,32(1):103.[doi:10.11830/ISSN.1000-5013.2011.01.0103]
　WANG Dong-shu,WANG Quan-yi.Global Attractivity of the Zero Solution of the Super Logistic Functional Differential Equations[J].Journal of Huaqiao University(Natural Science),2011,32(4):103.[doi:10.11830/ISSN.1000-5013.2011.01.0103]

备注/Memo

备注/Memo:
福建省自然科学基金资助项目(Z0511026); 国务院侨办科研基金资助项目(09QZR10)
更新日期/Last Update: 2014-03-23