Opuscula Math. 26, no. 2 (2006), 361-369
Oscillatory and asymptotically zero solutions of third order difference equations with quasidifferences
Abstract. 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.
Keywords: linear, nonlinear, difference equations, third order, oscillatory solution, quasidifferences.
Mathematics Subject Classification: 39A10, 39A11.