具有无界次线性中立项的三阶非线性差分方程的振动准则G.AYYAPPAN，G.E.CHATZARAKIS，T.KUMAR和E.THANDAPANI

Electronic journal of mathematical analysis and applications Pub Date : 2022-07-01 DOI:10.21608/ejmaa.2022.292049

G.AYYAPPAN, G.E.CHATZARAKIS, T.KUMAR, E.THANDAPANI

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引用次数: 0

摘要

.得到了具有次线性中立项的三阶微分方程所有解的振动的新的充分条件。我们通过降阶导出这些标准，将三阶方程降阶为具有已知振荡行为的一阶延迟微分方程。我们提供了示例来说明这些结果。

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

. 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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Electronic journal of mathematical analysis and applications

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