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Oscillation criteria for higher order functional difference equation with oscillating coeffcient

100%

Bolat Y.

2007

tom 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.

Nonoscillatory solutions of delay difference equations with oscillating coefficients

63%

Bolat Y. , Akin Ö.

tom Vol. 36, nr 4

859--866

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.