On the Spectral Analysis of a Differential Operator with an Involution and General Boundary Conditions

Author ORCID Identifier

Ilya Krishtal:https://orcid.org/0000-0001-7171-2177

Publication Title

Eurasian Mathematical Journal

ISSN

20779879

E-ISSN

43831

Document Type

Article

Abstract

We study first-order differential operators with an involution and non-periodic boundary conditions. We exhibit their spectral properties such as the asymptotic estimates of their eigenvalues, eigenvectors and spectral projections. We also use these properties to estimate the groups generated by the differential operators we study. The results were obtained by using the method of similar operators.

First Page

30

Last Page

39

Publication Date

1-1-2020

DOI

10.32523/2077-9879-2020-11-2-30-39

Keywords

Differential operator with an involution, The method of similar operators

Department

Department of Mathematical Sciences

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