TY - JOUR

T1 - Dynamical inverse problem for the discrete Schrodinger operator

AU - Mikhaylov, A. S.

AU - Mikhaylov, V. S.

PY - 2016

Y1 - 2016

N2 - We consider the inverse problem for the dynamical system with discrete Schrodinger operator and discrete time. As inverse data, we take a response operator, the natural analog of the dynamical Dirichlet-to-Neumann map. We derive two types of equations of inverse problem and answer a question on the characterization of the inverse data, i.e. we describe the set of operators, which are response operators of the dynamical system governed by the discrete Schrodinger operator.

AB - We consider the inverse problem for the dynamical system with discrete Schrodinger operator and discrete time. As inverse data, we take a response operator, the natural analog of the dynamical Dirichlet-to-Neumann map. We derive two types of equations of inverse problem and answer a question on the characterization of the inverse data, i.e. we describe the set of operators, which are response operators of the dynamical system governed by the discrete Schrodinger operator.

KW - inverse problem

KW - discrete Schrodinger operator

KW - Boundary Control method

KW - characterization of inverse data

U2 - 10.17586/2220-8054-2016-7-5-842-853

DO - 10.17586/2220-8054-2016-7-5-842-853

M3 - Article

VL - 7

SP - 842

EP - 853

JO - Nanosystems: Physics, Chemistry, Mathematics

JF - Nanosystems: Physics, Chemistry, Mathematics

SN - 2220-8054

IS - 5

ER -