- Research Article
- Open access
- Published:
On a class of fourth-order nonlinear difference equations
Advances in Difference Equations volume 2004, Article number: 471072 (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.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
This article is published under license to BioMed Central Ltd. This is an Open Access article: Verbatim copying and redistribution of this article are permitted in all media for any purpose, provided this notice is preserved along with the article's original URL.
About this article
Cite this article
Migda, M., Musielak, A. & Schmeidel, E. On a class of fourth-order nonlinear difference equations. Adv Differ Equ 2004, 471072 (2004). https://doi.org/10.1155/S1687183904308083
Received:
Revised:
Published:
DOI: https://doi.org/10.1155/S1687183904308083