二阶半线性微分方程非振荡检测的比较技术

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematische Nachrichten Pub Date : 2025-02-14 DOI:10.1002/mana.202400107

Jaroslav Jaroš

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引用次数: 0

摘要

本文提出了一种新的比较方法，通过在比较不等式中引入与主要非振荡微分方程相关的riccti型方程的解，改进了经典Hille-Wintner定理及其对二阶半线性微分方程的推广。我们的结果是用比较的半线性微分方程的系数函数的加权基元来表示的。

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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Comparison techniques for detection of nonoscillation in half-linear differential equations of the second order

We present a new comparison method which improves the classical Hille–Wintner theorem and its generalization to a pair of half-linear differential equations of the second order by incorporating a solution of the Riccati-type equation associated with the majorant nonoscillatory differential equation into the comparison inequality. Our results are formulated in terms of the weighted primitives of the coefficient functions of compared half-linear differential equations.

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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index