Open Access

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

Advances in Difference Equations20082008:505324

DOI: 10.1155/2008/505324

Received: 28 March 2008

Accepted: 27 May 2008

Published: 2 June 2008

Abstract

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

(1)
Department of Electronics and Telecommunications, University of Florence
(2)
Department of Mathematics and Statistics, Masaryk University

Copyright

© M. Cecchi et al. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.