Open Access

On a class of fourth-order nonlinear difference equations

Advances in Difference Equations20042004:471072

https://doi.org/10.1155/S1687183904308083

Received: 18 August 2003

Published: 24 March 2004

Abstract

We consider a class of fourth-order nonlinear difference equations. The classification of nonoscillatory solutions is given. Next, we divide the set of solutions of these equations into two types: F+- and F-solutions. Relations between these types of solutions and their nonoscillatory behavior are obtained. Necessary and sufficient conditions are obtained for the difference equation to admit the existence of nonoscillatory solutions with special asymptotic properties.

Authors’ Affiliations

(1)
Institute of Mathematics, Poznań University of Technology

Copyright

© Migda et al. 2004