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Oscillation theorems for third order nonlinear delay difference equations

Kumar S. Vidhyaa; Chinnappa Dharuman; Ethiraju Thandapani; Sandra Pinelas — 2019

Mathematica Bohemica

Sufficient conditions are obtained for the third order nonlinear delay difference equation of the form $Δ (a_{n} (Δ (b_{n} {(Δ y_{n})}^{α}))) + q_{n} f (y_{σ (n)}) = 0$ to have property $(A)$ 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.

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