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Original Articles

On non-autonomous linear difference equations with continuous variable

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Pages 651-668 | Received 26 Jan 2006, Accepted 20 Feb 2006, Published online: 25 Jan 2007
 

Abstract

This article is concerned with non-autonomous linear neutral (and, especially, non-neutral) delay difference equations with continuous variable, in which the coefficients vary and the delays are constant. An asymptotic criterion as well as a useful inequality for the solutions are established, by the use of an appropriate solution of the so called generalized characteristic equation.

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