期刊文献+

Logistic差分方程单个和多重周期正解的存在性 被引量:1

Existence of Single and Multiple Positive Periodic Solutions to Difference Logistic Equations
下载PDF
导出
摘要 研究了Logistic差分方程单个和多重周期正解的存在性理论,利用锥不动点定理证明了解的存在性,并应用本文的理论验证了一些生物数学模型. This paper presents a new existence theory for single and multiple positive periodic solutions to Logistic difference equations. Existence is established using a fixed point theorem in cones. We illustrate our theory be examining several biomathematical models.
作者 胡卫敏
出处 《大学数学》 北大核心 2008年第2期84-90,共7页 College Mathematics
关键词 Logistic差分方程 周期正解 锥不动点定理 Logistic difference equation positive periodic solution fixed point theorem in cones
  • 相关文献

二级参考文献14

  • 1Grace,S .R,Gyori,I,Lalli,B .S.Necessaryandsufficientconditionsfortheoscillationsofamultiplicativedelaylogisticequation. Quarterly of Applied Mathematics . 1995
  • 2Zhang.B.G.andGopalsamy,K.Globalatractivity.andoscilationsinaperiodicdeley-Logistice-quation,J.Math. Analysis and Applications . 1990
  • 3Lenhart ,S .M,Traris ,C .C.Globalstabilityofabiologicalmodelwithtimedelay. Proc .Amer .Math .Soc . 1986
  • 4Gopalsamy K,Kulenovic MRS,Ladas G.Environmental periodicity and time delays in a food-limited population model. Journal of Mathematical . 1990
  • 5Lalli B S,zhang B G.On a periodic delay population model. J.Quart.Appl.Math . 1994
  • 6Hall J K,Mawhin J L.Coincidence degree and periodic solutions of neutral equations. Journal of Differential Equations . 1974
  • 7GOPALSAMY K.Stability and oscillations in delay differential equations of population dynamics. . 1992
  • 8Gyori I,Ladas G.Oscillation Theory of Delay Differential Equations. . 1991
  • 9Kuang,Y. Delay Differential Equations with Applications in Population Dynamics . 1993
  • 10Kuang,Y.Global stability for a class of nonlinear nonautonomous delay logistic equations. Nonlinear Analysis . 1991

共引文献14

同被引文献2

引证文献1

二级引证文献1

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