Asymptotic Behavior of the Spectrum of a Multipoint Differential Operator with an Integrable Potential
- Authors: Mitrokhin S.I.1
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Affiliations:
- Research Computing Center, Lomonosov Moscow State University
- Issue: Vol 231, No 2 (2018)
- Pages: 243-254
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241131
- DOI: https://doi.org/10.1007/s10958-018-3819-8
- ID: 241131
Cite item
Abstract
We consider the boundary value problem for a differential operator with an integrable potential and study the asymptotic behavior of solutions for large values of the spectral parameter. We derive an equation for eigenvalues and obtain asymptotics of eigenfunctions of the operator.
About the authors
S. I. Mitrokhin
Research Computing Center, Lomonosov Moscow State University
Author for correspondence.
Email: mitrokhin-sergey@yandex.ru
Russian Federation, Moscow, 119991