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
Recommended Citation
Baskakov, Anatoly G.; Krishtal, Ilya A.; and Uskova, Natalya B., "On the Spectral Analysis of a Differential Operator with an Involution and General Boundary Conditions" (2020). NIU Bibliography. 495.
https://huskiecommons.lib.niu.edu/niubib/495
Department
Department of Mathematical Sciences