On a Class of Positive Definite Operators and Their Application in Fractional Calculus

被引：1

作者：

Aleroev, Temirkhan ^{[1
]}

机构：

[1] Natl Res Moscow State Univ Civil Engn NRU MGSU, Moscow 129337, Russia

来源：

AXIOMS | 2022年 / 11卷 / 06期

关键词：

persymmetric matrix; eigenvalues; fractional derivative; positive definiteness; DIFFERENTIAL-EQUATIONS;

D O I：

10.3390/axioms11060272

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the spectral analysis of one class of integral operators, associated with the boundary value problems for differential equations of fractional order. Approximation matrices are also investigated. In particular, the positive definiteness of the studied operators is shown, which makes it possible to select areas in the complex plane where there are no eigenvalues of these operators.

引用

页数：7

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