Skip to main content

Advertisement

On a class of fourth-order nonlinear difference equations

Article metrics

  • 842 Accesses

  • 9 Citations

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

Correspondence to Małgorzata Migda.

Rights and permissions

Reprints and Permissions

About this article