具有可积势的$$2m $$ th阶Dirac型算子的根向量函数系的性质

IF 0.8 4区数学 Q2 MATHEMATICS

Differential Equations Pub Date : 2023-11-23 DOI:10.1134/s00122661230100014

E. C. Ibadov

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引用次数: 0

摘要

考虑一类具有矩阵系数的Dirac型算子。建立了根向量函数的估计，得到了该算子的根向量函数系统在$G=(a,b)\subset \mathbb {R} $为有限区间的空间$L_{2}^{2m}(G) $上的贝塞尔性质和无条件基性质的判据。

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On the Properties of the Root Vector Function Systems of a $$2m $$ th-Order Dirac Type Operator with an Integrable Potential

Abstract

We consider a Dirac type operator with matrix coefficients. Estimates for the root vector functions are established, and criteria for the Bessel property and the unconditional basis property of the root vector function systems of this operator in the space $L_{2}^{2m}(G) $, where $G=(a,b)\subset \mathbb {R} $ is a finite interval, are 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.