OSCILLATION CRITERIA FOR THIRD-ORDER NONLINEAR DIFFERENCE EQUATIONS WITH AN UNBOUNDED SUBLINEAR NEUTRAL TERM G.AYYAPPAN, G.E.CHATZARAKIS, T.KUMAR AND E.THANDAPANI

Abstract

. New sufficient conditions are obtained for the oscillation of all solutions of third-order difference equations with a sublinear neutral term. We derive these criteria by a reduction of order, reducing the third-order equations into first-order delay difference equations with a known oscillatory behavior. We provide examples, illustrating these results.