A note on explicit stability conditions for autonomous higher order difference equations

Abstract

We prove that if a s $ 0 ð1 # s # kÞ and 0 , X k s¼1 a s 2 sin p 2ð2s21Þ , 1; then the equationa s xðn 2 sÞ is asymptotically stable. As a corollary, we obtain sufficient asymptotic stability conditions: a s > 0 and 0 , X k s¼1 sa s # p 2

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