一类具有分布偏差变元的三阶中立型微分方程的振动性定理和渐近性

IF 0.2 Q4 MATHEMATICS, APPLIED International Journal of Dynamical Systems and Differential Equations Pub Date : 2021-05-15 DOI:10.1504/IJDSDE.2021.10037987

Yibing Sun, Yige Zhao

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引用次数: 1

摘要

本文的目的是研究一类具有分布偏差变元的三阶中立型微分方程的振动准则，其中αi是奇数正整数的比值，i=1,2。利用广义Riccati变换和积分平均技术，我们建立了一些新的定理，这些定理保证了该方程的所有解都振荡或收敛到零。举例说明了我们的主要结果。

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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Oscillation theorems and asymptotic behaviour of certain third-order neutral differential equations with distributed deviating arguments

The purpose of this paper is to study the oscillation criteria for a class of third-order neutral differential equations with distributed deviating arguments where and αi are ratios of positive odd integers, i = 1, 2. By using a generalized Riccati transformation and an integral averaging technique, we establish some new theorems, which ensure that all solutions of this equation oscillate or converge to zero. Some examples are given to illustrate our main results.

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来源期刊

International Journal of Dynamical Systems and Differential Equations MATHEMATICS, APPLIED-

CiteScore

0.80

自引率

0.00%

发文量

期刊介绍： IJDSDE is a quarterly international journal that publishes original research papers of high quality in all areas related to dynamical systems and differential equations and their applications in biology, economics, engineering, physics, and other related areas of science. Manuscripts concerned with the development and application innovative mathematical tools and methods from dynamical systems and differential equations, are encouraged.