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