Permanence and Asymptotic Properties of Nonlinear Delay Difference Equations

LI Wan-tong

Volume 24 Issue 11

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(11): 1126-1132

LI Wan-tong. Permanence and Asymptotic Properties of Nonlinear Delay Difference Equations[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1126-1132.

Citation:

LI Wan-tong. Permanence and Asymptotic Properties of Nonlinear Delay Difference Equations[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1126-1132.

Citation:

LI Wan-tong. Permanence and Asymptotic Properties of Nonlinear Delay Difference Equations[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1126-1132.

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Permanence and Asymptotic Properties of Nonlinear Delay Difference Equations

LI Wan-tong

Department of Mathematics, Lanzhou University, Lanzhou 730000, P. R. China

Received Date: 2002-03-25
Rev Recd Date: 2003-06-08
Publish Date: 2003-11-15

Abstract

Abstract

The asymptotic behavior of a class of nonlinear delay difference equation was studied. Some sufficient conditions are obtained for permanence and global attractivity. The results can be applied to a class of nonlinear delay difference equations and to the delay discrete Logistic model and some known results are included.
- global attractivity,
- higher order nonlinear difference equation,
- permanence,
- delay

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References(5)

References

[1]	Agarwal R P. Difference Equa tions and Inequalities [ M].New York:Dekker,1992.
[2]	Kocic V L, Ladas G.Global Behavior of Nonlinear Difference Equations of Higher Order With Applications[M].Boston: Kluwer Academic Publishers,1993.
[3]	Camouzis E,Ladas G,Rodrigues I W.On the rational recursive x_n+1=Bx_n²/(1+xx_n-1² ) [ J].Computers Math Appl,1994,28(1):37)43.
[4]	ZHANG De_cun,SHI Bao,GAI Ming_jiu.On the rational recursive sequence x_n+1=bx_n²/ (1+xx_n-1²)[J].Indian J Pure Appl Math,2001,32(5):657 )663.
[5]	Kocic V L, Ladas G.Global attractivity in nonlinear delay difference equations [J].Proc Amer Math Soc,1992,115(4):1083)1088.

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