带亚线性和超线性项的二阶非正则延迟微分方程：通过佳能变换和算术几何不等式的新振荡标准

IF 1.9 3区数学 Q1 MATHEMATICS

Qualitative Theory of Dynamical Systems Pub Date : 2024-08-29 DOI:10.1007/s12346-024-01130-9

Ganesh Purushothaman, Kannan Suresh, Ethiraju Thandapani, Ercan Tunç

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引用次数: 0

摘要

在本文中、(a(t)x^{\prime }(t))^{\prime }+ \sum _{j=1}^{n} q_{j}(t) x^{alpha _{j}}(\sigma _{j}(t))=0 \end{aligned}$$。我们首先将所研究的方程转化为规范形式，然后应用比较技术和积分平均法得到新的振荡准则，从而建立我们的结果。我们举例说明了主要结果的重要性和新颖性。

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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Second-Order Noncanonical Delay Differential Equations with Sublinear and Superlinear Terms: New Oscillation Criteria via Canonical Transform and Arithmetic–Geometric Inequality

In this paper, the authors present new oscillation criteria for the noncanonical second-order delay differential equation with mixed nonlinearities

$$\begin{aligned} (a(t)x^{\prime }(t))^{\prime }+ \sum _{j=1}^{n} q_{j}(t) x^{\alpha _{j}}(\sigma _{j}(t))=0 \end{aligned}$$

using an arithmetic–geometric mean inequality. We establish our results first by transforming the studied equation into canonical form and then applying a comparison technique and integral averaging method to get new oscillation criteria. Examples are provided to illustrate the importance and novelty of their main results.

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来源期刊

Qualitative Theory of Dynamical Systems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

14.30%

发文量

130

期刊介绍： Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.