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高阶有理差分方程单半环解的存在性(英文) 被引量:1

Existence of solutions with a single semicyle for a general higher order rational difference equation
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摘要 作者研究了一类一般性的高阶有理差分方程的单半环解的存在性问题,应用线性化方程理论、方程平衡点的性质和非线性差分方程的包含定理,作者证明了该方程单半环解的存在性,该结果推广了一些已知的结果。 A general higher order rational difference equation is studied. By using the theory of linearized equation, the properties of the positive equilibrium and an inclusion theorem,an existence theorem of solutions with a single semicycle is proved.
出处 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第3期540-542,共3页 Journal of Sichuan University(Natural Science Edition)
关键词 有理差分方程 单半环 平衡点 rational difference equation, single semicycle, equilibrium point
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参考文献5

  • 1Amleh A M, Georgia D A, Grove E A, etal. On the recursive sequence xn+1 =a+xn/xn-1 [J]. J Math Anal Appl,1999, 233: 790. 被引量:1
  • 2Kulenovic M R S, Ladas G. Dynamics of second-order rational equations, with open problems and conjectures[M]. Cleveland: CRC Press, 2002. 被引量:1
  • 3Li X Y. Existence of solutions with a single semicyele for a general second-order rational difference equation [J]. J Math Anal Appl, 2007, 334:528. 被引量:1
  • 4Xi H J, Sun T X. Global behavior of a higher-order rational difference equation[J]. Adv Diff Eq, 2006, Article ID 27637. 被引量:1
  • 5Berg L Inclusion theorems for non-linear difference equations with applieations[J]. J Diff Eq Appl, 2004, 10: 399. 被引量:1

同被引文献10

  • 1Kulenovic M R S,Ladas G. Dynamics of second order rational difference equations with open problems and conjectures[M].Boca Raton..Chapman Hall/CRC,2002. 被引量:1
  • 2Kocic V L,Ladas G. Global behavior of nonlinear difference equations of higher order with applications[M].Dordrecht:Kluwer Publishing,1993. 被引量:1
  • 3Elaydi S. An introduction to difference equations[M].New York:springer-verlag,2005. 被引量:1
  • 4Sedaghat H. Nonlinear difference equations:theory with applications to social science models[M].Dordrecht:Kluwer Publishing,2003. 被引量:1
  • 5Sedaghat H. Open problems and conjectures:on thirdorder rational difference equations with quadratic terms[J].Journal of Difference Equations and Applications,2008.889.doi:10.1080/10236190802054118. 被引量:1
  • 6Sedaghat H. Global behaviours of rational difference equations of orders two and three with quadratic terms[J].Journal of Difference Equations and Applications,2009.215. 被引量:1
  • 7Dehghan M,Kent C M,Mazrooei-Sebdani R. Monotone and oscillatory solutions of a rational difference equation containing quadratic terms[J].Journal of Difference Equations and Applications,2008,(10/11):1045.doi:10.1080/10236190802332266. 被引量:1
  • 8Dehghan M,Kent C M,Mzarooei-Sebdani R. Dynamics of rational difference equations containing quadratic terms[J].Journal of Difference Equations and Applications,2008,(2):191.doi:10.1080/10236190701565636. 被引量:1
  • 9高承华.障碍带条件下二阶差分方程边值问题的可解性[J].四川大学学报(自然科学版),2008,45(1):17-20. 被引量:5
  • 10唐玉萍.一个时滞差分方程的周期性[J].四川大学学报(自然科学版),2000,37(2):181-184. 被引量:1

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