On a class of fourth-order nonlinear difference equations
- Authors
- Type
- Published Article
- Journal
- Advances in Difference Equations
- Publisher
- Springer International Publishing
- Publication Date
- Mar 24, 2004
- Volume
- 2004
- Issue
- 1
- Identifiers
- DOI: 10.1155/S1687183904308083
- Source
- Springer Nature
- License
- Yellow
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.
