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Oscillation criteria for higher order neutral difference equations with oscillating coefficient

Migda M.

Fasciculi Mathematici

2010

Nr 44

85-93

In this paper sufficient conditions for oscillation of all bounded solutions of the equation ...[wzór] where m ≥ 2, (pn) is an oscillatory sequence of real numbers, limn→∞ pn = 0, τ and σ are positive integers, f : N×R×R → R are established.

Oscillation criteria for high-order sublinear neutral delay forced difference equations with oscillating coefficients

Ozcan M., Bolat Y.

Demonstratio Mathematica

2007

Vol. 40, nr 4

853-857

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.

Oscillation criteria for higher order functional difference equation with oscillating coeffcient

Bolat Y.

Demonstratio Mathematica

2007

Vol. 40, nr 1

161-168

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.