Open Access

Nonoscillatory half-linear difference equations and recessive solutions

Advances in Difference Equations20052005:676580

DOI: 10.1155/ADE.2005.193

Received: 30 January 2004

Published: 31 May 2005

Abstract

Recessive and dominant solutions for the nonoscillatory half-linear difference equation are investigated. By using a uniqueness result for the zero-convergent solutions satisfying a suitable final condition, we prove that recessive solutions are the "smallest solutions in a neighborhood of infinity," like in the linear case. Other asymptotic properties of recessive and dominant solutions are treated too.

Authors’ Affiliations

(1)
Department of Electronic and Telecommunications, University of Florence
(2)
Department of Mathematics, Faculty of Science, Masaryk University in Brno

Copyright

© Cecchi et al. 2005