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EN
In this manuscript, two type of new oscillation criteria are obtained respect to coefficient ak in the following Eq. (1.1). In the subsection 2.1 considered as ak > 0. In the subsection 2.2 allowed it to be an oscillating sequence. There are no results for the oscillation of second order difference equations with oscillating coefficients up to now.
EN
In this paper we are concerned with the oscillation of solutions of higher-order sublinear neutral type difference equation with an o oscillating coefficient of the form [...] where p(k) is an oscillatory function which is interesting. We obtain some comparison criteria for oscillatory behaviour. The results are new when n =2 and n = 3.
EN
In this paper we are concerned with the oscillatory behaviour of solutions of a certain higher order nonlinear neutral type functional difference equation with oscillating coefficient. We obtain two sufficient criteria for oscillatory behaviour.
4
EN
Our aim in this paper is to obtain sufficient conditions under which certain difference equations have a "large" number of non-oscillatory solutions. Using the characteristic equation of a "majorant" delay difference equation with oscillating coefficients and Schauder's fixed point theorem, we obtain conditions under which the difference equation in question has a non-oscillatory solution.
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