TY - JOUR ID - Schmeidel2006 LB - Schmeidel2006 AU - Schmeidel, Ewa TI - Oscillatory and asymptotically zero solutions of third order difference equations with quasidifferences ST - Oscillatory and asymptotically zero solutions of third order difference equations with quasidifferences JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2006 VL - 26 IS - 2 SP - 361 EP - 369 DO - http://dx.doi.org/10.7494/OpMath.2006.26.2.361 UR - http://dx.doi.org/10.7494/OpMath.2006.26.2.361 AB - 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. KW - linear KW - nonlinear KW - difference equations KW - third order KW - oscillatory solution KW - quasidifferences SN - 1232-9274 ER -