由Riemann-Stieltjes积分给出的非线性二阶阻尼时滞微分方程的区间振荡准则

IF 0.2 Q4 MATHEMATICS, APPLIED

International Journal of Dynamical Systems and Differential Equations Pub Date : 2021-05-15 DOI:10.1504/IJDSDE.2021.10037983

V. Muthulakshmi, R. Manjuram

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引用次数: 0

摘要

本文的目的是研究由Riemann-Stieltjes积分给出的具有非线性的某些类型的阻尼二阶强迫延迟微分方程的振荡行为。利用Riccati变换、一些不等式和积分平均技术，建立了El-Sayed型和Kong型区间振荡准则。最后，通过两个算例对理论结果进行了说明。

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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Interval oscillation criteria for damped second-order delay differential equations with nonlinearities given by Riemann-Stieltjes integral

The purpose of this paper is to investigate the oscillatory behaviour of certain types of damped second-order forced delay differential equations with nonlinearities given by Riemann-Stieltjes integral. By using the Riccati transformation, some inequalities and integral averaging technique, interval oscillation criteria of both El-Sayed type and Kong type are established. Finally, two examples are presented to illustrate the theoretical 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.