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论模糊差分方程xn＋1=a＋bxn/A＋xn-1 被引量：1

On Fuzzy Difference Equation x_(n+1)=a+bx_n/A+x_(n-1)
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摘要 讨论非线性模糊差分方程x_(n+1)=a+bx_n/A+x_(n-1)(n=0,1,…)正解的存在性、有界性及正解的渐近表现。其中是正模糊数数列、及初始值是正模糊数。 In this paper,we study the existence,the boundedness and the asymptotic behavior of the positive solutions of a fuzzy nonlinear difference equations xn＋1=a＋bxn/A＋xn-1,n=0,1,…where {xn} is a sequence of positive fuzzy numbers,a,b,A and the initial values x-1,x0 are positive fuzzy numbers.
作者 张千宏 杨利辉 廖代喜
机构地区 贵州财经大学贵州省经济系统仿真重点实验室 湖南城市学院数学系 湖南工学院基础课部
出处 《模糊系统与数学》 CSCD 北大核心 2012年第4期99-107,共9页 Fuzzy Systems and Mathematics
基金 贵州财经学院博士启动基金资助项目 贵州省科技厅自然科学基金资助项目([2011]J2096) 湖南省教育厅优秀青年项目
关键词 模糊差分方程 有界性 持续性 平衡点 渐近表现 Fuzzy Difference Equation Boundedness Persistence Equilibrium Point Asymptotic Behavior
分类号 O175 [理学—基础数学]
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参考文献16

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二级参考文献11

  • 1Deeba E Y, De Korvin A. Analysis by fuzzy difference equations of a model of CO2 level in the blood[J]. Appl. Math. Lett. , 1999,12 : 33-40.
  • 2Deeba E Y,De Korvin A,Koh E L. A fuzzy difference equation with an application[J]. J. Difference Equation Appl. , 1996,2:365-374.
  • 3Benest D, Froeschle C. Analysis and modelling of discrete dynamical systems[M]. The Netherland:Gordon and Breach Science Publishers, 1998.
  • 4DeVault R,Ladas G,Schultz S W. Necessary and sufficient conditions the boundedness of xn+1 = A/xn^p + B/xn-1^q [J]. J. Difference Equations Appl. , 1998,3 : 259-266.
  • 5De Vault R, Ladas G, Schultz S W. On the recursive sequence xn+1 = A/xn + 1/xn-2 [J]. Proc. Amer. Math. Soc. ,1998,126(11),3257-3261.
  • 6Papaschinopoulos G, Schinas C J. On the fuzzy difference equation xn+1 = ∑(i=0→k-1) Ai/xn^pi-i + 1/^pkxn-k [J]. J. Difference Equation Appl. , 2000,6 : 75-89.
  • 7Papaschinopoulos G, Papadopoulos B K. On the fuzzy difference equation xn+1 = A + B/xn [J]. Soft Comput. , 2002, 6:456-461.
  • 8Papaschinopoulos G, Papadopoulos B K. On the fuzzy difference equation xn+1 = A + xn/xn-m [J]. Fuzzy Sets and Systems, 2002,129 : 73-81.
  • 9Papaschinopoulos G, CSchinas C J. On a systems of two nonlinear difference equation[J]. J. Math. Anal. Appl. , 1998,219:415-426.
  • 10Wu C, BZhang B. Embedding problem of noncompaet fuzzy number space E[J]. Fuzzy Sets and Systems, 1999, 105:165-169.

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模糊系统与数学
2012年 第4期

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