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Title: Asymptotic Behavior of the Spectrum of a Multipoint Differential Operator with an Integrable Potential

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.

Authors:
 [1]
  1. Lomonosov Moscow State University, Research Computing Center (Russian Federation)
Publication Date:
OSTI Identifier:
22771206
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 231; Journal Issue: 2; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; ASYMPTOTIC SOLUTIONS; BOUNDARY-VALUE PROBLEMS; DIFFERENTIAL OPERATORS; EIGENFUNCTIONS; EIGENVALUES

Citation Formats

Mitrokhin, S. I., E-mail: mitrokhin-sergey@yandex.ru. Asymptotic Behavior of the Spectrum of a Multipoint Differential Operator with an Integrable Potential. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3819-8.
Mitrokhin, S. I., E-mail: mitrokhin-sergey@yandex.ru. Asymptotic Behavior of the Spectrum of a Multipoint Differential Operator with an Integrable Potential. United States. doi:10.1007/S10958-018-3819-8.
Mitrokhin, S. I., E-mail: mitrokhin-sergey@yandex.ru. Tue . "Asymptotic Behavior of the Spectrum of a Multipoint Differential Operator with an Integrable Potential". United States. doi:10.1007/S10958-018-3819-8.
@article{osti_22771206,
title = {Asymptotic Behavior of the Spectrum of a Multipoint Differential Operator with an Integrable Potential},
author = {Mitrokhin, S. I., E-mail: mitrokhin-sergey@yandex.ru},
abstractNote = {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.},
doi = {10.1007/S10958-018-3819-8},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 2,
volume = 231,
place = {United States},
year = {2018},
month = {5}
}