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时滞Logistic方程非振动解的存在性 被引量:3

THE EXISTENCE OF NONOSCILLATORY SOLUTIONS OF DELAY LOGISTIC EQUATIONS
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摘要 本文获得了时滞Logistic方程 x'(t)=r(t)x(t)[1-a_1x(g_1(t))-a_2x(g_2(t))]~a,t≥0关于其正平衡状态x=1/(a_1+a_2)存在非振动解的充分条件与充要条件,改进并推广了Aiello中的结果. In this paper some sufficient, as well as necessary and sufficient conditions for the existence of nonoscillatory solutions about the positive stationary state - x =1/(α1+α2) of the delay logistic equationx'(t) =r(t)x(t)[l-α1x(g1(t) -α2x(g2(t)],t≥0 are obtained, which improve and generalize the results in Aiello [4].
出处 《高校应用数学学报(A辑)》 CSCD 北大核心 1992年第4期517-524,共8页 Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金 高等学校博士学科点专项科研基金
关键词 LOGISTIC方程 振动性 和群 Delay Logistic Equation, Oscillation, Nonoscillation.
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参考文献1

  • 1Zhang B G,Quart Appl Math,1988年,46卷,267页

同被引文献15

  • 1唐先华,周英告.一类非线性泛函微分方程的周期解及全局吸引性[J].数学学报(中文版),2006,49(4):899-908. 被引量:6
  • 2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
  • 3Li G. Oscillation Behavior of Solutions to a Generalized Nonautonomous Delay Logistic Equation.Ann. of Diff. Eqs., 1991, 7:432-438.
  • 4Wang Z C, Yu J S, Huang L H. The Nonoscillatory Solutions of Delay Logistic Equations. Chinese J. of Math., 1993, 21:81-90.
  • 5Chen 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.
  • 6Li Jingwen. Global Attractivity in a Generalized Delay Logistic Equation. Appl. Math. JCU, 1996,llB: 165-174.
  • 7Kuang Y. Delay Differential Equations with Applications in Population Dynamics. Boston: AcademicPress, 1993, 119-125.
  • 8Joseph W H So, Yu J S. Global Attactivity for a Popluation Model with Time Delay. Proc. Amer.Math. Soc., 1995, 123:2687-2694.
  • 9涂建斌,经济数学,1998年,15卷,1/2期,100页
  • 10王志成,高校应用数学学报,1992年,7卷,4期,517页

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