Details

Autor(en) / Beteiligte

• El-Morshedy, Hassan A.
• Grace, S.R.

Titel

Comparison theorems for second order nonlinear difference equations

Ist Teil von

• Journal of mathematical analysis and applications, 2005-06, Vol.306 (1), p.106-121

Ort / Verlag

San Diego, CA: Elsevier Inc

Erscheinungsjahr

2005

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• New oscillation results are obtained for the second order nonlinear difference equation Δ ( r n f ( Δ x n − 1 ) ) + g ( n , x n ) = 0 , and its functional form Δ ( r n f ( Δ x n − 1 ) ) + g ( n , x τ n ) = 0 . The role played by the argument τ n on the oscillation of the functional equation is explored. In particular, we characterize a class of sequences { τ n } which have a harmless effect on the oscillation of this type of equations. Some of our results generalize, improve or unify known fundamental oscillation results for several particular cases of the above equations.