论具有两点边界条件的非自相邻狄拉克算子频谱

IF 0.8 4区数学 Q2 MATHEMATICS Differential Equations Pub Date : 2024-06-05 DOI:10.1134/s0012266124020022

A. S. Makin

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引用次数: 0

摘要

摘要我们考虑了具有任意两点边界条件和任意平方可积分势 \(V\) 的狄拉克算子的谱问题。建立了全函数成为这种算子特征行列式的必要条件和充分条件。在不规则边界条件的情况下，找到了复数集合是所考虑问题的谱的条件。

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On the Spectrum of Nonself-Adjoint Dirac Operators with Two-Point Boundary Conditions

Abstract

We consider the spectral problem for the Dirac operator with arbitrary two-point boundary conditions and any square integrable potential \(V\). Necessary and sufficient conditions for an entire function to be the characteristic determinant of such an operator are established. In the case of irregular boundary conditions, conditions are found under which a set of complex numbers is the spectrum of the problem under consideration.

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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.