Works by Avdonin, Sergei

Results: 29

Boundary Control Approach to the Spectral Estimation Problem: The Case of Simple Poles.

Published in:

Sampling Theory in Signal & Image Processing, 2009, v. 8, n. 3, p. 225, doi. 10.1007/BF03549517

By:

Avdonin, Sergei;
Bulanova, Anna;
Nicolsky, Dmitry

Publication type:

Article

Boundary Control Approach to the Spectral Estimation Problem: The Case of Simple Poles.

Published in:

Sampling Theory in Signal & Image Processing, 2009, v. 8, n. 3, p. 225, doi. 10.1007/bf03549517

By:

Avdonin, Sergei;
Bulanova, Anna;
Nicolsky, Dmitry

Publication type:

Article

The Boundary Control Approach to the Titchmarsh-Weyl m–Function. I. The Response Operator and the A–Amplitude.

Published in:

Communications in Mathematical Physics, 2007, v. 275, n. 3, p. 791, doi. 10.1007/s00220-007-0315-2

By:

Avdonin, Sergei;
Mikhaylov, Victor;
Rybkin, Alexei

Publication type:

Article

Discretization of the Wave Equation on a Metric Graph.

Published in:

Mathematical Methods in the Applied Sciences, 2025, v. 48, n. 5, p. 5708, doi. 10.1002/mma.10630

By:

Avdonin, Sergei A.;
Mikhaylov, Alexander S.;
Mikhaylov, Victor S.;
Choque‐Rivero, Abdon E.

Publication type:

Article

Reconstruction techniques for quantum trees.

Published in:

Mathematical Methods in the Applied Sciences, 2024, v. 47, n. 9, p. 7182, doi. 10.1002/mma.9963

By:

Avdonin, Sergei A.;
Khmelnytskaya, Kira V.;
Kravchenko, Vladislav V.

Publication type:

Article

On the inverse problem of the two-velocity tree-like graph.

Published in:

ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2015, v. 95, n. 12, p. 1490, doi. 10.1002/zamm.201400126

By:

Avdonin, Sergei;
Rivero Abdon, Choque;
Leugering, Günter;
Mikhaylov, Victor

Publication type:

Article

On an inverse problem for tree-like networks of elastic strings.

Published in:

ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2010, v. 90, n. 2, p. 136, doi. 10.1002/zamm.200900295

By:

Avdonin, Sergei;
Leugering, Günter;
Mikhaylov, Victor

Publication type:

Article

Method for solving inverse spectral problems on quantum star graphs.

Published in:

Journal of Inverse & Ill-Posed Problems, 2023, v. 31, n. 1, p. 31, doi. 10.1515/jiip-2022-0045

By:

Avdonin, Sergei A.;
Kravchenko, Vladislav V.

Publication type:

Article

A linear algorithm for the identification of a weakly singular relaxation kernel using two boundary measurements.

Published in:

Journal of Inverse & Ill-Posed Problems, 2018, v. 26, n. 2, p. 299, doi. 10.1515/jiip-2016-0064

By:

Avdonin, Sergei;
Pandolfi, Luciano

Publication type:

Article

Source and coefficient identification problems for the wave equation on graphs.

Published in:

Mathematical Methods in the Applied Sciences, 2019, v. 42, n. 15, p. 5029, doi. 10.1002/mma.5229

By:

Avdonin, Sergei;
Bell, Jonathan;
Mikhaylov, Victor;
Nurtazina, Karlygash

Publication type:

Article

Determining distributed parameters in a neuronal cable model on a tree graph.

Published in:

Mathematical Methods in the Applied Sciences, 2017, v. 40, n. 11, p. 3973, doi. 10.1002/mma.4277

By:

Avdonin, Sergei;
Bell, Jonathan;
Nurtazina, Karlygash

Publication type:

Article

Determining a distributed parameter in a neural cable model via a boundary control method.

Published in:

Journal of Mathematical Biology, 2013, v. 67, n. 1, p. 123, doi. 10.1007/s00285-012-0537-6

By:

Avdonin, Sergei;
Bell, Jonathan

Publication type:

Article

Recovery of a potential on a quantum star graph from Weyl's matrix.

Published in:

Inverse Problems & Imaging, 2024, v. 18, n. 1, p. N.PAG, doi. 10.3934/ipi.2023034

By:

Avdonin, Sergei A.;
Khmelnytskaya, Kira V.;
Kravchenko, Vladislav V.

Publication type:

Article

Leaf Peeling method for the wave equation on metric tree graphs.

Published in:

Inverse Problems & Imaging, 2021, v. 15, n. 2, p. 185, doi. 10.3934/ipi.2020060

By:

Avdonin, Sergei;
Zhao, Yuanyuan

Publication type:

Article

Inverse problems for the heat equation with memory.

Published in:

Inverse Problems & Imaging, 2019, v. 13, n. 1, p. 31, doi. 10.3934/ipi.2019002

By:

Avdonin, Sergei A.;
Ivanov, Sergei A.;
Wang, Jun-Min

Publication type:

Article

DETERMINING A DISTRIBUTED CONDUCTANCE PARAMETER FOR A NEURONAL CABLE MODEL DEFINED ON A TREE GRAPH.

Published in:

Inverse Problems & Imaging, 2015, v. 9, n. 3, p. 645, doi. 10.3934/ipi.2015.9.645

By:

AVDONIN, SERGEI;
BELL, JONATHAN

Publication type:

Article

INVERSE PROBLEMS FOR QUANTUM TREES II: RECOVERING MATCHING CONDITIONS FOR STAR GRAPHS.

Published in:

Inverse Problems & Imaging, 2010, v. 4, n. 4, p. 579, doi. 10.3934/ipi.2010.4.579

By:

AVDONIN, SERGEI;
KURASOV, PAVEL;
NOWACZYK, MARLENA

Publication type:

Article

SPECTRAL ESTIMATION AND INVERSE INITIAL BOUNDARY VALUE PROBLEMS.

Published in:

Inverse Problems & Imaging, 2010, v. 4, n. 1, p. 1, doi. 10.3934/ipi.2010.4.1

By:

AVDONIN, SERGEI;
GESZTESY, FRITZ;
MAKAROV, KONSTANTIN A.

Publication type:

Article

INVERSE PROBLEMS FOR QUANTUM TREES.

Published in:

Inverse Problems & Imaging, 2008, v. 2, n. 1, p. 1

By:

AVDONIN, SERGEI;
KURASOV, PAVEL

Publication type:

Article

Controllability for the wave equation on graph with cycle and delta-prime vertex conditions.

Published in:

Evolution Equations & Control Theory, 2023, v. 12, n. 6, p. 1, doi. 10.3934/eect.2023025

By:

Avdonin, Sergei;
Edward, Julian;
Leugering, Günter

Publication type:

Article

The Kalman condition for the boundary controllability of coupled 1-D wave equations.

Published in:

Evolution Equations & Control Theory, 2020, v. 9, n. 1, p. 255, doi. 10.3934/eect.2020005

By:

Avdonin, Sergei;
Park, Jeff;
Teresa, Luz de

Publication type:

Article

An inverse problem for quantum trees with observations at interior vertices.

Published in:

Networks & Heterogeneous Media, 2021, v. 16, n. 2, p. 317, doi. 10.3934/nhm.2021008

By:

Avdonin, Sergei;
Edward, Julian

Publication type:

Article

Exact Controllability of the Wave Equation on Graphs.

Published in:

Applied Mathematics & Optimization, 2022, v. 85, n. 2, p. 1, doi. 10.1007/s00245-022-09869-w

By:

Avdonin, Sergei;
Zhao, Yuanyuan

Publication type:

Article

Exact Controllability of the 1-D Wave Equation on Finite Metric Tree Graphs.

Published in:

Applied Mathematics & Optimization, 2021, v. 83, n. 3, p. 2303, doi. 10.1007/s00245-019-09629-3

By:

Avdonin, Sergei;
Zhao, Yuanyuan

Publication type:

Article

Controllability for a string with attached masses and Riesz bases for asymmetric spaces.

Published in:

Mathematical Control & Related Fields, 2019, v. 9, n. 3, p. 453, doi. 10.3934/mcrf.2019021

By:

Avdonin, Sergei;
Edward, Julian

Publication type:

Article

Reconstructing the potential for the one-dimensional Schrödinger equation from boundary measurements.

Published in:

IMA Journal of Mathematical Control & Information, 2014, v. 31, n. 1, p. 137, doi. 10.1093/imamci/dnt009

By:

Avdonin, Sergei A.;
Mikhaylov, Victor S.;
Ramdani, Karim

Publication type:

Article

On Controllability of an Elastic Ring.

Published in:

Applied Mathematics & Optimization, 2009, v. 60, n. 1, p. 71, doi. 10.1007/s00245-009-9064-2

By:

Avdonin, Sergei A.;
Belinskiy, Boris P.;
Ivanov, Sergei A.

Publication type:

Article

ON CONTROLLABILITY OF A LINEAR ELASTIC BEAM WITH MEMORY UNDER LONGITUDINAL LOAD.

Published in:

Evolution Equations & Control Theory, 2014, v. 3, n. 2, p. 231, doi. 10.3934/eect.2014.3.231

By:

AVDONIN, SERGEI A.;
BELINSKIY, BORIS P.

Publication type:

Article

Boundary Control approach to the spectral estimation problem: the case of multiple poles.

Published in:

Mathematics of Control, Signals & Systems, 2010, v. 22, n. 3, p. 245, doi. 10.1007/s00498-010-0052-5

By:

Avdonin, Sergei;
Bulanova, Anna

Publication type:

Article