Geodesic
Oscillation theorems for third order nonlinear delay difference equations
Mathematica Bohemica, Tome 144 (2019) no. 1, pp. 25-37.

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Sufficient conditions are obtained for the third order nonlinear delay difference equation of the form $$ \Delta (a_n(\Delta (b_n(\Delta y_n)^{\alpha })))+q_nf(y_{\sigma (n)})=0 $$ to have property ${(\rm A)}$ or to be oscillatory. These conditions improve and complement many known results reported in the literature. Examples are provided to illustrate the importance of the main results.
DOI : 10.21136/MB.2018.0019-17
Classification : 39A10
Keywords: third order delay difference equation; property ${(\rm A)}$; comparison theorem 
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Vidhyaa, Kumar S.; Dharuman, Chinnappa; Thandapani, Ethiraju; Pinelas, Sandra. Oscillation theorems for third order nonlinear delay difference equations. Mathematica Bohemica, Tome 144 (2019) no. 1, pp. 25-37. doi : 10.21136/MB.2018.0019-17. http://geodesic.mathdoc.fr/articles/10.21136/MB.2018.0019-17/

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