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一个时滞差分方程的周期性 被引量:1

PERIODICITY FOR A DELAY DIFFERENCE EQUATION
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摘要 利用计算机代数系统 ,对LadasG提出的一个时滞差分方程的周期性进行了研究 ,获得了此差分方程为周期P(P <6) 方程的充要条件 .作为应用 ,可得出Lyness方程为周期 P(P<6) By using computer algebraic system, Maple, based on Wu′s characteristic set method, Groebner basis algorithm and resultant elimination method, the sufficient and necessary conditions for the extended Lyness equation to be a periodic one with period 3,4,5 are obtained, respectively.
作者 唐玉萍
出处 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2000年第2期181-184,共4页 Journal of Sichuan University(Natural Science Edition)
关键词 计算机代数系统 差分方程 周期性条件 computer algebra system delay difference equation periodicity
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参考文献2

二级参考文献3

  • 1李先义 肖功福 等.关于Ladas G的一个公开问题[M].中南工学院学报,1997,1.26-31.
  • 2Li Xianyi,A Conjecture by G Ladas,1998年,1页
  • 3李先义,中南工学院学报,1997年,1卷,26页

共引文献3

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.
  • 2Kocic V L,Ladas G. Global behavior of nonlinear difference equations of higher order with applications[M].Dordrecht:Kluwer Publishing,1993.
  • 3Elaydi S. An introduction to difference equations[M].New York:springer-verlag,2005.
  • 4Sedaghat H. Nonlinear difference equations:theory with applications to social science models[M].Dordrecht:Kluwer Publishing,2003.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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李先富,李洪旭.高阶有理差分方程单半环解的存在性(英文)[J].四川大学学报(自然科学版),2009,46(3):540-542. 被引量:1

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