# 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:

- 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}

}

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