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  • Research Article
  • 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:

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, ul. Piotrowo 3a, Poznań, 60-695, Poland

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