Global Attractivity for a Class of Nonlinear Delay Difference Equations
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Abstract: The global attractivity of the delay difference equation $xn+anxn+f{}=0, which includes the discrete type of many mathematical ecologic equations,was dicussed.The sufficient conditions that guarantee every solution to converge to zero were obtained.Many known results are improved and generated.
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Key words:
- global attractivity /
- nonlinear /
- nonautonomous /
- delay difference equation
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[1] 罗交晚,庾建设. 具分布时滞偏差变元非自治数学生态系统的全局渐近稳定性[J]. 数学学报,1998,41(6):1273-1282. [2] 周展,庾建设. 非自治时滞差分方程的线性化渐近稳定性,数学年刊[J]. 1998,19A(3):301-308. [3] ZHOU Zhan, ZHANG Qin-qin. Uniform stability of nonlinear difference systems[J]. J Math Anal Appl,1998,486-500. [4] 申建华,庾建设,王志成. 一维非线性泛函微分方程的全局吸引性[J]. 高校应用数学学报(A辑),1996,11(1):1-6. [5] Erbe L H, Xia H, Yu J S. Global stability of a linear nonautonomous delay difference equation[J]. J Difference Equ Appl,1995,1:151-161. [6] 时宝,王志成. 时滞差分方程的正解与全局渐近稳定性[J]. 高校应用数学学报 A辑,1997,12(4):379-384. [7] Gopalsamy K. Stability and Oscillation in Deay Differential Equations of Population Dynamics[M]. Boston:Kluwer Academic Publishers,1992. [8] 罗交晚,刘再明. 非自治时滞微分方程的扰动全局吸引性[J]. 应用数学和力学,1998,19(12):1107-1111. [9] 庾建设. 非自治时滞微分方程的渐近稳定性[J]. 科学通报,1997,42(12):1248-1252.
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