有限密度情况下半线上狄拉克微分方程系统的直接散射理论问题

IF 0.8 4区数学 Q2 MATHEMATICS Differential Equations Pub Date : 2024-07-08 DOI:10.1134/s0012266124030029

A. E. Mamatov

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引用次数: 0

摘要

摘要本文研究了在有限密度情况下，边界条件为 \(y_{1}(0)=y_{2}(0) \)的狄拉克微分方程系统在半线上的直接散射问题。研究了频谱，构建了解析力，并得到了狄拉克算子特征函数的频谱展开。

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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Direct Problem of Scattering Theory for a Dirac System of Differential Equations on the Half-Line in the Case of Finite Density

Abstract

In this paper, we study the direct scattering problem on the half-line for the Dirac system of differential equations in the case of finite density with the boundary condition \(y_{1}(0)=y_{2}(0) \). The spectrum is studied, the resolvent is constructed, and the spectral expansion in the eigenfunctions of the Dirac operator is obtained.

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来源期刊

Differential Equations 数学-数学

CiteScore

1.30

自引率

33.30%

发文量

审稿时长

3-8 weeks

期刊介绍： Differential Equations is a journal devoted to differential equations and the associated integral equations. The journal publishes original articles by authors from all countries and accepts manuscripts in English and Russian. The topics of the journal cover ordinary differential equations, partial differential equations, spectral theory of differential operators, integral and integral–differential equations, difference equations and their applications in control theory, mathematical modeling, shell theory, informatics, and oscillation theory. The journal is published in collaboration with the Department of Mathematics and the Division of Nanotechnologies and Information Technologies of the Russian Academy of Sciences and the Institute of Mathematics of the National Academy of Sciences of Belarus.