Oscillation theorems for third order nonlinear delay difference equations. (English) Zbl 1474.39024

Vidhyaa, Kumar S.; Dharuman, Chinnappa; Thandapani, Ethiraju; Pinelas, Sandra

Math. Bohem. 144, No. 1, 25-37 (2019).

Sufficient conditions for the third-order nonlinear delay difference equation of the form \[\Delta\left( a_{n}(\Delta(b_{n}(\Delta y_{n})^{\alpha}))\right)+q_{n}f(y_{\sigma(n)})=0,\] to have property (A) or to be oscillatory are established. Two examples illustrating the results are given.

Reviewer: Ioannis P. Stavroulakis (Ioannina)

MSC:

39A21	Oscillation theory for difference equations
39A10	Additive difference equations

Keywords:

delay difference equations; oscillatory solutions; comparison theorem

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