Open Access

On the Growth of Nonoscillatory Solutions for Difference Equations with Deviating Argument

Advances in Difference Equations20082008:505324

Received: 28 March 2008

Accepted: 27 May 2008

Published: 2 June 2008


The half-linear difference equations with the deviating argument , are considered. We study the role of the deviating argument , especially as regards the growth of the nonoscillatory solutions and the oscillation. Moreover, the problem of the existence of the intermediate solutions is completely resolved for the classical half-linear equation ( = 1). Some analogies or discrepancies on the growth of the nonoscillatory solutions for the delayed and advanced equations are presented; and the coexistence with different types of nonoscillatory solutions is studied.

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Authors’ Affiliations

Department of Electronics and Telecommunications, University of Florence, FirenzeItaly
Department of Mathematics and Statistics, Masaryk University, Brno, Czech Republic


© M. Cecchi et al. 2008

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