中性项中有混合偏离参数的三阶泛函微分方程振荡的比较定理

Differential Equations & Applications Pub Date : 1900-01-01 DOI:10.7153/dea-2022-14-02

O. Özdemir, Şehri Kaya

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引用次数: 1

摘要

．本文研究了一类具有混合中立项的三阶泛函微分方程的所有解都具有振动性的几个新的比较定理，即中立项中既有滞后参数，也有超前参数。通过与相关的i阶时滞微分不等式和i阶时滞微分方程的比较，所得结果适用于微分方程中立系数无界和/或有界的两种情况。最后给出了算例，对主要结果进行了验证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Comparison theorems on the oscillation of third-order functional differential equations with mixed deviating arguments in neutral term

. This study purposes to present some new comparison theorems that guarantee the oscillation of all solutions of third-order functional differential equations with mixed neutral term i.e., the neutral term contains both retarded and advanced arguments. The obtained results are based on comparisons with associated ﬁ rst-order delay differential inequalities and ﬁ rst-order delay differential equations, and they are applicable to both cases where the neutral coef ﬁ cients of differential equation are unbounded and/or bounded. Illustrative examples are also provided to validate the main results.

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Differential Equations & Applications

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