Oscillation of Fourth-Order Nonlinear Semi-Canonical Neutral Difference Equations via Canonical Transformations

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2024-01-29 DOI:10.1155/2024/6682607

P. Ganesan, G. Palani, John R. Graef, E. Thandapani

引用次数: 0

Abstract

The authors present a new technique for transforming fourth-order semi-canonical nonlinear neutral difference equations into canonical form. This greatly simplifies the examination of the oscillation of solutions. Some new oscillation criteria are established by comparison with first-order delay difference equations. Examples are provided to illustrate the significance and novelty of the main results. The results are new even for the case of nonneutral difference equations.

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通过典型变换实现四阶非线性半典型中性差分方程的振荡

作者提出了一种将四阶半规范非线性中性差分方程转化为规范形式的新技术。这大大简化了解的振荡检验。通过与一阶延迟差分方程的比较，建立了一些新的振荡标准。通过举例说明主要结果的意义和新颖性。即使对于非中性差分方程，这些结果也是新的。

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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来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.