The A-function related to the Titchmarsh-Weyl m-function of Sturm-Liouville operators

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-08-20 DOI:10.1016/j.jde.2025.113691

Xuewen Wu , Guangsheng Wei

引用次数: 0

Abstract

We provide a new method to establish Simon's A-functions associated with the Titchmarsh-Weyl m-functions of Sturm-Liouville differential operators. This method is based on a connection with the kernel of transformation operators. We also obtain some properties of the A-functions on finite intervals, which yield a high-energy asymptotic representation of the Titchmarsh-Weyl m-function.

查看原文本刊更多论文

与Sturm-Liouville算子的Titchmarsh-Weyl m-函数相关的a函数

我们提供了一种新的方法来建立与Sturm-Liouville微分算子的Titchmarsh-Weyl m-函数相关的Simon's a -函数。该方法基于与转换算子核的连接。我们还得到了有限区间上a函数的一些性质，从而得到了Titchmarsh-Weyl m函数的高能渐近表示。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics