On the oscillatory behavior of solutions of canonical and noncanonical even-order neutral differential equations with distributed deviating arguments

Journal of Nonlinear Sciences and Applications Pub Date : 2024-02-23 DOI:10.22436/jnsa.017.02.01

A. El-Gaber

引用次数: 0

Abstract

The oscillatory behavior of solutions of an even-order neutral differential equation with distributed deviating arguments is considered using Riccati, generalized Riccati transformations, integral averaging technique of Philos type and the theory of comparison. New sufﬁcient conditions are established in both canonical and noncanonical cases. Two examples are given to support our results.

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论具有分布式偏差参数的规范和非规范偶阶中性微分方程解的振荡行为

利用里卡提、广义里卡提变换、菲洛斯型积分平均技术和比较理论，研究了具有分布式偏差参数的偶数阶中性微分方程解的振荡行为。在规范和非规范情况下都建立了新的充分条件。我们举了两个例子来支持我们的结果。

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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来源期刊

Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS

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期刊介绍： The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.