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.
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

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