一类二阶中立型时滞微分方程的振动性

IF 0.2 Q4 MATHEMATICS, APPLIED

International Journal of Dynamical Systems and Differential Equations Pub Date : 2020-06-16 DOI:10.1504/ijdsde.2020.10030021

Hui Li, Yige Zhao, Shurong Sun

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引用次数: 0

摘要

本文讨论了二阶中立型时滞微分方程（r（t）（z´（t））α）´+q（t）f（xβ（σ（t）。Riccati变换与相关的一阶微分不等式和微分方程进行了比较，给出了充分条件。本文的研究结果对其他文献中的结论进行了扩展和改进。给出了几个示例。

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 of one kind of second order neutral delay differential equations

This paper is dedicated to discussing the oscillation of the second order neutral delay differential equations (r(t)(z´(t))α)´ + q(t)f(xβ(σ(t))) = 0, where z(t) = x(t) + p(t)x(τ(t)). Sufficient conditions are provided by Riccati transformation comparing with related first order differential inequalities and differential equations. Results obtained in this paper have extended and improved conclusions contained in other literatures. Several illustrative examples are presented.

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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.