“通过正则变换的二阶非正则高级差分方程的振动性”

IF 1.4 4区数学 Q1 MATHEMATICS

Carpathian Journal of Mathematics Pub Date : 2022-02-28 DOI:10.37193/cjm.2022.02.09

G. Chatzarakis, N. Indrajith, S. Panetsos, E. Thandapani

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引用次数: 3

摘要

本文介绍了求解形式为\begin{equation*} \Delta(\eta(n)\Delta\chi(n))+f(n)\chi(\sigma(n))=0 \end{equation*}的二阶高级差分方程的一种新的改进方法，其中$\eta(n)>0,$$\sum_{n=n_0}^{\infty}\frac{1}{\eta(n)}0,$$\sigma(n)\geq n+1,$和$\{\sigma(n)\}$是单调递增的整数序列。将所研究的方程转化为标准形式，得到了新的振动判据。所得结果新颖，是对现有准则的改进。本文最后给出了主要结果的实例说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

"Oscillations of second-order noncanonical advanced difference equations via canonical transformation"

"This paper introduces a new improved method for obtaining the oscillation of a second-order advanced difference equation of the form \begin{equation*} \Delta(\eta(n)\Delta\chi(n))+f(n)\chi(\sigma(n))=0 \end{equation*} where $\eta(n)>0,$ $\sum_{n=n_0}^{\infty}\frac{1}{\eta(n)}<\infty,$ $f(n)>0,$ $\sigma(n)\geq n+1,$ and $\{\sigma(n)\}$ is a monotonically increasing integer sequence. We derive new oscillation criteria by transforming the studied equation into the canonical form. The obtained results are original and improve on the existing criteria. Examples illustrating the main results are presented at the end of the paper."

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来源期刊

Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.