具有非正则算子的三阶非线性中立型时滞差分方程的振动判据

IF 1 4区数学 Q1 MATHEMATICS

Applicable Analysis and Discrete Mathematics Pub Date : 2021-01-01 DOI:10.2298/AADM200913011A

G. Ayyappan, G. Chatzarakis, T. Gopal, E. Thandapani

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引用次数: 1

摘要

本文给出了形式为?(b(n)?(a(n)?z(n))) + q(n)x?(?(n)) = 0的非线性中立型差分方程的一些新的振动准则，其中z(n) = x(n) + p(n)x(?(n))，?>0 b(n) > 0 a(n) > 0 q(n) ?0和p(n) > 1。利用求和平均技术，建立了上述差分方程所有解的振动性的新判据。我们给出了四个例子来说明新得到的结果的强度。

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 criteria of third-order nonlinear neutral delay difference equations with noncanonical operators

In this paper, we present some new oscillation criteria for nonlinear neutral difference equations of the form ?(b(n)?(a(n)?z(n))) + q(n)x?(?(n)) = 0 where z(n) = x(n) + p(n)x(?(n)),? > 0, b(n) > 0, a(n) > 0, q(n) ? 0 and p(n) > 1. By summation averaging technique, we establish new criteria for the oscillation of all solutions of the studied difference equation above. We present four examples to show the strength of the new obtained results.

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来源期刊

Applicable Analysis and Discrete Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).