期刊文献+

广义Logistic时滞微分方程零解的3/2-全局吸引性

The 3/2-Global Attractivity of the Zero Solution of the General Logistic Delay Differential Equation
原文传递
导出
摘要 本文考虑广义时滞Logistic方程x′(t)+(1+x(t))F(t,xt^α)=0 t≥0 零解的全局吸引性,运用一些分析方法和技巧,得到方程零解是3//2全局吸引的一个充分条件,结果推广并改进了现有文献中的相关结论. The general Logistic delay differential equation x′(t)+(1+x(t))F(t,xt^α)=0 t≥0 is considered. By using some analysis methods and techniques, a sufficient condition is obtained for the 3/2-global attractivity of the zero solution of (*), which generalized and improved the related results in the literature.
出处 《应用数学学报》 CSCD 北大核心 2013年第6期1044-1052,共9页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(10971009,11101021) 国家留学基金(2011602507)资助项目
关键词 广义logistic时滞微分方程 全局吸引性 振动 非振动 general logistic delay differential equation the 3/2-Globalattractivity oscillation nonoscillation
  • 相关文献

参考文献20

  • 1Myskis A. D. On the Solutions of Linear Homogeneous Differential Equations of the First Order and Stable Type with Retarded Arguments. Mat. Sb., 1951, 28:641-658.
  • 2Wright M. A Non-linear Difference-differential Equation. J. Reine Angew Math., 1955, 194(1): 66-87.
  • 3Yorke J. A. Asymptotic Stability for One Demensional Differential- delay Equations. J. Diff. Eq., 1970, 7:189-202.
  • 4May M. Time-delay Versus Stability in Population Models with Two and Three Trophic Levels. Ecology, 1973, 54(2): 315-326.
  • 5Yoneyama T, Sugie J. Exponentially Asymptotically Stable Dynamical Systems. Appl. Anal., 1988, 27:235-242.
  • 6Yoneyama T. The ~ Stability Theorem for One-dimensional Delay- differential Equations with Un- bounded Delay. J. Math. Anal. Appl., 1992, 165:133-143.
  • 7Matsunaga H. etc. Global Attractivity Results for Nonlinear Delay Differential Equations. J. Math. Anal. Appl., 1999, 234:77-90.
  • 8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),1996,26(1):23-33. 被引量:23
  • 9唐先华,庾建设.一类非线性FDE整体解的存在性及全局吸引性[J].数学年刊(A辑),2000,1(6):655-666. 被引量:1
  • 10唐先华,庾建设.“食物有限”型泛函微分方程零解的3/2-全局吸引性[J].中国科学(A辑),2000,30(10):900-913. 被引量:5

二级参考文献30

  • 1GLOBAL ATTRACT IVITYIN A GENERALIZEDDELAYLOGISTICEQUATION*[J].Applied Mathematics(A Journal of Chinese Universities),1996,11(2):165-174. 被引量:2
  • 2申建华,庚建设,王志成.一维非线性泛函微分方程的全局吸引性[J].高校应用数学学报(A辑),1996(1):1-6. 被引量:6
  • 3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),1996,26(1):23-33. 被引量:23
  • 4CHEN M, YU J, ZENG D, et al. Global attractivity in a generalized nonautonomous delay Logistic equation[J].Bulletin of Institute of Mathematics Academia Sinica, 1994,22 (2) 91-99.
  • 5Li G. Oscillation Behavior of Solutions to a Generalized Nonautonomous Delay Logistic Equation.Ann. of Diff. Eqs., 1991, 7:432-438.
  • 6Wang Z C, Yu J S, Huang L H. The Nonoscillatory Solutions of Delay Logistic Equations. Chinese J. of Math., 1993, 21:81-90.
  • 7Chen M P, Yu J S, Zeng D G, Li J W. Global Attractivity in a Generalized Nonautonomous Delay Logistic Equation. Bulletin of Institute of Mathematics Academia Sinica, 1994, 22(2): 91-99.
  • 8Li Jingwen. Global Attractivity in a Generalized Delay Logistic Equation. Appl. Math. JCU, 1996,llB: 165-174.
  • 9Kuang Y. Delay Differential Equations with Applications in Population Dynamics. Boston: AcademicPress, 1993, 119-125.
  • 10Joseph W H So, Yu J S. Global Attactivity for a Popluation Model with Time Delay. Proc. Amer.Math. Soc., 1995, 123:2687-2694.

共引文献35

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部