A. G. Baskakov, I. A. Krishtal, N. B. Uskova, “On the spectral analysis of a differential operator with an involution and general boundary conditions”, Eurasian Math. J., 2020, Volume 11, Number 2,Pages <nobr>30

This article is cited in 13 papers

On the spectral analysis of a differential operator with an involution and general boundary conditions

A. G. Baskakov^a, I. A. Krishtal^b, N. B. Uskova^c

^a Department of Applied Mathematics, Informatics and Mechanics, Voronezh State University, 1 Universitetskaya Sq, 394018 Voronezh, Russia
^b Department of Mathematical Sciences, Northern Illinois University, 1425 West Lincoln Hwy, DeKalb, IL 60115, USA
^c Department of Higher Mathematics and Physical and Mathematical Modeling, Voronezh State Technical University, 14 Moscovsky Ave, 394016 Voronezh, Russia

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.

Keywords and phrases: the method of similar operators, differential operator with an involution.

MSC: 35L75, 35Q53, 37K10

Received: 06.11.2018

Language: English

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