Abstract and Applied Analysis

Stability Analysis of a Class of Higher Order Difference Equations

Yuanyuan Liu and Fanwei Meng

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We consider the sufficient conditions for asymptotic stability and instability of certain higher order nonlinear difference equations with infinite delays in finite-dimensional spaces. With the aid of the general comparison condition on the right-hand side function f k ( · ) , we generalize the stability and instability result.

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Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 434621, 7 pages.

First available in Project Euclid: 27 February 2015

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Liu, Yuanyuan; Meng, Fanwei. Stability Analysis of a Class of Higher Order Difference Equations. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 434621, 7 pages. doi:10.1155/2014/434621. https://projecteuclid.org/euclid.aaa/1425048240

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