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THE ASYMPTOTIC STABILITY REGION TO A CLASS OF HIGHER ORDER DELAY LINEAR DIFFERENCE EQUATIONS

THE ASYMPTOTIC STABILITY REGION TO A CLASS OF HIGHER ORDER DELAY LINEAR DIFFERENCE EQUATIONS
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摘要 In this paper, we establish necessary and sufficient conditions for the zero solution to a class of higher order delay linear difference equations to be asymptotically stable, which are easy to be verified and to be applied. In this paper, we establish necessary and sufficient conditions for the zero solution to a class of higher order delay linear difference equations to be asymptotically stable, which are easy to be verified and to be applied.
作者 Hongshan Ren
出处 《Annals of Differential Equations》 2014年第1期33-53,共21页 微分方程年刊(英文版)
关键词 delay difference equation asymptotic stability characteristic equation delay difference equation asymptotic stability characteristic equation
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参考文献3

  • 1S.A. Kuruklis, The Asymptotic Stability of Xn+1- aXn + bXn-k = 0, J. Math. Anal. Appl., 188(1994),719-731.
  • 2F.M. Dannan, The Asymptotic Stability of x(n + k) + ax(n) + bx(n - l) = 0, Journal of Difference Equations and Applications, 10:6(2004),589-599.
  • 3Hongshan Ren, Stability analysis of second order delay difference equations, Funkcialaj Ekvacioj, 50(2007),405-419.

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