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Advances in Continuous and Discrete Models

Theory and Modern Applications

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On a class of fourth-order nonlinear difference equations

Advances in Difference Equations volume 2004, Article number: 471072 (2004) Cite this article

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.

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  1. Institute of Mathematics, Poznań University of Technology, ul. Piotrowo 3a, Poznań, 60-695, Poland

    Małgorzata Migda, Anna Musielak & Ewa Schmeidel

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  1. Małgorzata Migda
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  2. Anna Musielak
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  3. Ewa Schmeidel
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Correspondence to Małgorzata Migda.

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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

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  • DOI: https://doi.org/10.1155/S1687183904308083