Standard

The boundary control method and de Branges spaces. Schrödinger equation, Dirac system and discrete Schrödinger operator. / Mikhaylov, Alexander; Mikhaylov, Victor.

In: Journal of Mathematical Analysis and Applications, Vol. 460, No. 2, 15.04.2018.

Research output: Contribution to journal › Article › peer-review

Harvard

Mikhaylov, A & Mikhaylov, V 2018, 'The boundary control method and de Branges spaces. Schrödinger equation, Dirac system and discrete Schrödinger operator', Journal of Mathematical Analysis and Applications, vol. 460, no. 2. https://doi.org/10.1016/j.jmaa.2017.12.013

APA

Mikhaylov, A., & Mikhaylov, V. (2018). The boundary control method and de Branges spaces. Schrödinger equation, Dirac system and discrete Schrödinger operator. Journal of Mathematical Analysis and Applications, 460(2). https://doi.org/10.1016/j.jmaa.2017.12.013

Vancouver

Mikhaylov A, Mikhaylov V. The boundary control method and de Branges spaces. Schrödinger equation, Dirac system and discrete Schrödinger operator. Journal of Mathematical Analysis and Applications. 2018 Apr 15;460(2). https://doi.org/10.1016/j.jmaa.2017.12.013

Author

Mikhaylov, Alexander ; Mikhaylov, Victor. / The boundary control method and de Branges spaces. Schrödinger equation, Dirac system and discrete Schrödinger operator. In: Journal of Mathematical Analysis and Applications. 2018 ; Vol. 460, No. 2.

BibTeX

@article{1158ec6bc480457e9ef0464231a48b6d,
title = "The boundary control method and de Branges spaces. Schr{\"o}dinger equation, Dirac system and discrete Schr{\"o}dinger operator",
abstract = "We establish the relationship between the Boundary Control method for dynamic inverse problems and the method of de Branges on the examples of dynamical systems for Schr{\"o}dinger and Dirac operators on a half-line and semi-infinite discrete Schr{\"o}dinger operator. For each of the system we construct the de Branges space and describe in natural dynamic terms its attributes: the set of function the space consists of, the scalar product, the reproducing kernel.",
keywords = "Boundary Control method, De Branges spaces, Dirac system, Discrete Schr{\"o}dinger operator, Inverse problem, Schr{\"o}dinger operator",
author = "Alexander Mikhaylov and Victor Mikhaylov",
year = "2018",
month = apr,
day = "15",
doi = "10.1016/j.jmaa.2017.12.013",
language = "English",
volume = "460",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Elsevier",
number = "2",

}

RIS

TY - JOUR

T1 - The boundary control method and de Branges spaces. Schrödinger equation, Dirac system and discrete Schrödinger operator

AU - Mikhaylov, Alexander

AU - Mikhaylov, Victor

PY - 2018/4/15

Y1 - 2018/4/15

N2 - We establish the relationship between the Boundary Control method for dynamic inverse problems and the method of de Branges on the examples of dynamical systems for Schrödinger and Dirac operators on a half-line and semi-infinite discrete Schrödinger operator. For each of the system we construct the de Branges space and describe in natural dynamic terms its attributes: the set of function the space consists of, the scalar product, the reproducing kernel.

AB - We establish the relationship between the Boundary Control method for dynamic inverse problems and the method of de Branges on the examples of dynamical systems for Schrödinger and Dirac operators on a half-line and semi-infinite discrete Schrödinger operator. For each of the system we construct the de Branges space and describe in natural dynamic terms its attributes: the set of function the space consists of, the scalar product, the reproducing kernel.

KW - Boundary Control method

KW - De Branges spaces

KW - Dirac system

KW - Discrete Schrödinger operator

KW - Inverse problem

KW - Schrödinger operator

UR - http://www.scopus.com/inward/record.url?scp=85038395549&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2017.12.013

DO - 10.1016/j.jmaa.2017.12.013

M3 - Article

AN - SCOPUS:85038395549

VL - 460

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 2

ER -

ID: 15540755