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On explicit conditions for the asymptotic stability of linear higher order difference equations. (English) Zbl 1068.39017

The author considers a general linear higher order difference equation and the equation with a nonlinear perturbations satisfying a kind of sublinearity condition. Explicit sufficient conditions for the asymptotic stability of the zero solution are obtained.

MSC:

39A11 Stability of difference equations (MSC2000)
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