带有混合中性项的偶阶非线性微分方程的振荡和渐近行为

Pub Date : 2024-08-14 DOI:10.1515/ms-2024-0068

Said R. Grace, Tongxing Li, Gokula Nanda Chhatria

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摘要

本文论述了带有混合非线性中性项的偶阶非线性微分方程的振荡和渐近行为。研究结果是利用积分准则以及与一阶高级和/或延迟微分方程振荡特性的比较定理得出的。我们提供了新颖的振荡准则，改进、扩展并简化了之前发布的准则。我们通过两个例子来说明结果。

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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Oscillatory and asymptotic behavior of even-order nonlinear differential equations with mixed neutral terms

This paper deals with the oscillation and asymptotic behaviour of even order nonlinear differential equations with mixed nonlinear neutral terms. The findings are obtained via utilising an integral criterion as well as a comparison theorem with the oscillatory properties of a first order advanced and/or delay differential equation. We provide novel oscillation criteria that improve, extend, and simplify previously published ones. The results are illustrated by two examples.

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