DOI: 10.7494/opmath.2006.26.2.361 ISSN: 1232-9274

Oscillatory and asymptotically zero solutions of third order difference equations with quasidifferences

Ewa Schmeidel

In this paper, third order difference equations are considered. We study the nonlinear third order difference equation with quasidifferences. Using Riccati transformation techniques, we establish some sufficient conditions for each solution of this equation to be either oscillatory or converging to zero. The result is illustrated with examples.

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