半线性差分方程的里卡提变换和非振荡准则

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-18 DOI:10.1007/s40840-024-01745-w

Kōdai Fujimoto, Petr Hasil, Michal Veselý

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引用次数: 0

摘要

本文研究了一类半线性差分方程。应用离散里卡蒂变换，我们证明了所分析方程的非振荡准则。在准则的表述中，我们没有使用辅助序列，而是直接考虑了所处理方程的系数。由于所获得的准则在许多情况下都是新的，因此我们还提出了新的简单推论，并提到了说明性的例子。

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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Riccati Transformation and Non-Oscillation Criterion for Half-Linear Difference Equations

In this paper, we study a general class of half-linear difference equations. Applying a version of the discrete Riccati transformation, we prove a non-oscillation criterion for the analyzed equations. In the formulation of the criterion, we do not use auxiliary sequences, but we consider directly the coefficients of the treated equations. Since the obtained criterion is new in many cases, we also formulate new simple corollaries and mention illustrative examples.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.