# zbMATH — the first resource for mathematics

## Avdonin, Sergeĭ Anatol’evich

Compute Distance To:
 Author ID: avdonin.sergei-anatolevich Published as: Avdonin, S.; Avdonin, S. A.; Avdonin, Sergei; Avdonin, Sergei A.; Avdonin, Sergeĭ Anatol’evich
 Documents Indexed: 99 Publications since 1974, including 1 Book
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#### Co-Authors

 11 single-authored 24 Ivanov, Sergei A. 11 Mikhaylov, Victor S. 9 Belinsky, Boris P. 8 Belishev, Mikhail Igorevitch 8 Joó, István 5 Edward, Julian 5 Moran, William 5 Pandolfi, Luciano 4 Bell, Jonathan 3 Bulanova, Anna 3 Seidman, Thomas I. 2 Avdonina, Nina 2 de Teresa, Luz 2 Horváth, Miklós 2 Kozlov, Vladimir A. 2 Kurasov, Pavel B. 2 Lenhart, Suzanne M. 2 Leugering, Günter 2 Matthews, John V. 2 Nicaise, Serge 2 Nurtazina, K. B. 2 Nurtazina, Karlygash 2 Protopopescu, Vladimir A. 2 Rozhkov, Yu. S. 2 Russell, David L. 1 Abdon, Choque Rivero 1 Al-Musallam, Fadhel A. 1 Arguchintsev, Aleksandr Valer’evich 1 Choque Rivero, Abdon Eddy 1 Germanovich, O. P. 1 Gesztesy, Fritz 1 Gorshkova, O. Ya. 1 Ishmukhametov, A. Z. 1 Jo, Ishtvan 1 Makarov, Konstantin A. 1 Maxwell, Daniel T. 1 Medhin, Negash G. 1 Murzabekova, Gulden Y. 1 Nicolsky, Dimitry 1 Nowaczyk, Marlena 1 Park, Jeff 1 Poplevko, Vasilisa Pavlovna 1 Ramdani, Karim 1 Rybkin, Alexei 1 Sheronova, T. L. 1 Truffer, M. 1 Tucsnak, Marius 1 Wang, Junmin
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#### Serials

 5 Inverse Problems 5 Journal of Mathematical Sciences (New York) 5 Inverse Problems and Imaging 4 Vestnik Leningrad University. Mathematics 4 Journal of Inverse and Ill-Posed Problems 3 Studia Scientiarum Mathematicarum Hungarica 3 International Journal of Applied Mathematics and Computer Science 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 2 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica 2 Applied Mathematics and Optimization 2 Control and Cybernetics 2 Journal of Soviet Mathematics 2 SIAM Journal on Control and Optimization 2 Soviet Mathematics. Doklady 2 Soviet Journal of Automation and Information Sciences 2 Applied Mathematics Letters 2 Discrete and Continuous Dynamical Systems 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Sampling Theory in Signal and Image Processing 2 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 2 Evolution Equations and Control Theory 1 Communications in Mathematical Physics 1 Journal of Mathematical Biology 1 Mathematical Notes 1 Differential Equations 1 Journal of Computational and Applied Mathematics 1 Quarterly of Applied Mathematics 1 Siberian Mathematical Journal 1 Tamkang Journal of Mathematics 1 Systems & Control Letters 1 Acta Mathematica Hungarica 1 Vestnik Leningradskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya 1 IMA Journal of Mathematical Control and Information 1 MCSS. Mathematics of Control, Signals, and Systems 1 IEEE Transactions on Signal Processing 1 Mathematics of the USSR, Sbornik 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Matematicheskiĭ Sbornik 1 Applicationes Mathematicae 1 St. Petersburg Mathematical Journal 1 The Journal of Fourier Analysis and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Voprosy Mekhaniki i Protsessov Upravleniya 1 Mathematical Modelling of Natural Phenomena 1 Analysis and Mathematical Physics 1 Mathematical Control and Related Fields 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Nanosystems. Physics, Chemistry, Mathematics
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#### Fields

 57 Systems theory; control (93-XX) 49 Partial differential equations (35-XX) 10 Functional analysis (46-XX) 10 Mechanics of deformable solids (74-XX) 9 Ordinary differential equations (34-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Information and communication theory, circuits (94-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Integral equations (45-XX) 6 Quantum theory (81-XX) 5 Operator theory (47-XX) 4 Combinatorics (05-XX) 4 Functions of a complex variable (30-XX) 4 Mechanics of particles and systems (70-XX) 3 Numerical analysis (65-XX) 3 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH

78 Publications have been cited 624 times in 323 Documents Cited by Year
Families of exponentials. The method of moments in controllability problems for distributed parameter systems. Zbl 0866.93001
Avdonin, S. A.; Ivanov, S. A.
1995
Inverse problems for quantum trees. Zbl 1148.35356
Avdonin, Sergei; Kurasov, Pavel
2008
Riesz bases formed by exponentials and divided differences. Zbl 0999.42018
Avdonin, S. A.; Ivanov, S. A.
2002
Ingham-type inequalities and Riesz bases of divided differences. Zbl 1031.93098
Avdonin, Sergei; Moran, William
2001
The “window problem” for series of complex exponentials. Zbl 0960.42012
Seidman, T. I.; Avdonin, S. A.; Ivanov, S. A.
2000
On the question of Riesz bases of exponentials in L$$^2$$. Zbl 0296.46033
Avdonin, S. A.
1974
Solving the dynamical inverse problem for the Schrödinger equation by the boundary control method. Zbl 1001.35121
Avdonin, Sergei; Lenhart, Suzanne; Protopopescu, Vladimir
2002
Boundary control and a matrix inverse problem for the equation $$u_{tt}- u_{xx}+V(x)u=0$$. Zbl 0782.93054
Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A.
1992
Spectral estimation and inverse initial boundary value problems. Zbl 1193.93071
Avdonin, Sergei; Gesztesy, Fritz; Makarov, Konstantin A.
2010
The boundary control approach to the Titchmarsh-Weyl $$m$$-function. I: The response operator and the $$A$$-amplitude. Zbl 1140.93023
Avdonin, Sergei; Mikhaylov, Victor; Rybkin, Alexei
2007
The BC-method in the inverse problem for the heat equation. Zbl 0886.35166
Avdonin, S. A.; Belishev, M. I.; Rozhkov, Yu. S.
1997
Inverse problems for quantum trees. II: Recovering matching conditions for star graphs. Zbl 1208.35166
Avdonin, Sergei; Kurasov, Pavel; Nowaczyk, Marlena
2010
On an inverse problem for tree-like networks of elastic strings. Zbl 1329.34036
Avdonin, S.; Leugering, G.; Mikhaylov, V.
2010
Iterative methods for solving a nonlinear boundary inverse problem in glaciology. Zbl 1173.35718
Avdonin, S.; Kozlov, V.; Maxwell, D.; Truffer, M.
2009
Simultaneous controllability in sharp time for two elastic strings. Zbl 0995.93036
Avdonin, Sergei; Tucsnak, Marius
2001
Simultaneous control problems for systems of elastic strings and beams. Zbl 0986.93037
Avdonin, S. A.; Moran, W.
2001
Boundary control and dynamical inverse problem for nonselfadjoint Sturm-Liouville operator (BC-method). Zbl 0859.93030
Avdonin, Sergei; Belishev, Mikhail
1996
Controllability in a filled domain for a multidimensional wave equation with the singular boundary control. Zbl 0870.93004
Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A.
1994
Boundary control and an inverse matrix problem for the equation $$u_{tt}-u_{xx}+V(x)u=O$$. Zbl 0735.93042
Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A.
1991
Simultaneous temperature and flux controllability for heat equations with memory. Zbl 1264.76014
Avdonin, S.; Pandolfi, L.
2013
Erratum to: “The boundary control approach to inverse spectral theory”. Zbl 1221.81153
Avdonin, Sergei; Mikhaylov, Victor
2010
Determining the potential in the Schrödinger equation from the Dirichlet to Neumann map by the boundary control method. Zbl 1095.35061
Avdonin, S.; Lenhart, S.; Protopopescu, V.
2005
On the question of Riesz bases of exponential functions in $$L^2$$. Zbl 0427.46016
Avdonin, S. A.
1979
Control problems on quantum graphs. Zbl 1153.81483
Avdonin, Sergei
2008
A generating matrix-valued function in problems of controlling the vibrations of connected strings. Zbl 0735.35011
Avdonin, S. A.; Ivanov, S. A.
1989
Riesz bases of exponentials and sine-type functions. Zbl 0645.42027
Avdonin, S. A.; Joó, I.
1988
Exact controllability for string with attached masses. Zbl 1390.93395
Avdonin, Sergei; Edward, Julian
2018
Reconstructing the potential for the one-dimensional Schrödinger equation from boundary measurements. Zbl 1286.49039
Avdonin, Sergei A.; Mikhaylov, Victor S.; Ramdani, Karim
2014
Exponential bases in Sobolev spaces in control and observation problems for the wave equation. Zbl 0966.93057
Avdonin, S. A.; Ivanov, S. A.; Russell, D. L.
2000
Exact boundary controllability of coupled hyperbolic equations. Zbl 1284.93038
Avdonin, Sergei; Choque Rivero, Abdon; de Teresa, Luz
2013
On controllability of a non-homogeneous elastic string with memory. Zbl 1252.93022
Avdonin, Sergei A.; Belinskiy, Boris P.
2013
Boundary control approach to the spectral estimation problem: the case of multiple poles. Zbl 1248.93076
Avdonin, Sergei; Bulanova, Anna
2011
The boundary control approach to inverse spectral theory. Zbl 1187.81203
Avdonin, Sergei; Mikhaylov, Victor
2010
Construction of sampling and interpolating sequences for multi-band signals. The two-band case. Zbl 1275.94020
Avdonin, Sergei; Bulanova, Anna; Moran, William
2007
On the basis properties of the functions arising in the boundary control problem of a string with a variable tension. Zbl 1162.93006
Avdonin, Sergei A.; Belinskiy, Boris P.
2005
Controllability of a string under tension. Zbl 1067.93033
Avdonin, Sergei A.; Belinskiy, Boris P.
2003
Identification of $$q(x)$$ in $$u_ t=\Delta u-qu$$ from boundary observations. Zbl 0828.93021
Avdonin, Sergei; Seidman, Thomas I.
1995
Temperature and heat flux dependence/independence for heat equations with memory. Zbl 1298.93067
Avdonin, Sergei; Pandolfi, Luciano
2012
Dynamical inverse problem on a metric tree. Zbl 1225.35254
Avdonin, S. A.; Belinskiy, B. P.; Matthews, J. V.
2011
On the inverse problem of the two-velocity tree-like graph. Zbl 1335.35290
Avdonin, Sergei; Abdon, Choque Rivero; Leugering, Günter; Mikhaylov, Victor
2015
Determining a distributed conductance parameter for a neuronal cable model defined on a tree graph. Zbl 1364.92004
Avdonin, Sergei; Bell, Jonathan
2015
Controllability of a nonhomogeneous string and ring under time dependent tension. Zbl 1193.93070
Avdonin, S. A.; Belinskiy, B. P.; Pandolfi, L.
2010
On controllability of an elastic ring. Zbl 1211.93017
Avdonin, Sergei A.; Belinskiy, Boris P.; Ivanov, Sergei A.
2009
Boundary control approach to the spectral estimation problem: the case of simple poles. Zbl 1182.93022
Avdonin, Sergei; Bulanova, Anna; Nicolsky, Dimitry
2009
Controllability of partial differential equations on graphs. Zbl 1151.93004
Avdonin, Sergei; Mikhaylov, Victor
2008
A linear algorithm for the identification of a weakly singular relaxation kernel using two boundary measurements. Zbl 1390.45007
Avdonin, Sergei; Pandolfi, Luciano
2018
The spectral estimation problem in infinite-dimensional spaces. Zbl 1348.46074
Avdonin, S. A.; Mikhaylov, V. S.
2015
Source identification for the wave equation on graphs. Zbl 1322.35171
Avdonin, Sergei; Nicaise, Serge
2014
Determining a distributed parameter in a neural cable model via a boundary control method. Zbl 1264.92011
Avdonin, Sergei; Bell, Jonathan
2013
Boundary control method and coefficient identification in the presence of boundary dissipation. Zbl 1175.93059
Avdonin, S. A.; Pandolfi, L.
2009
On controllability of a rotating string. Zbl 1112.93008
Avdonin, Sergei A.; Belinskiy, Boris P.
2006
Identification of a piecewise constant coefficient in the beam equation. Zbl 0954.74042
Avdonin, S. A.; Medhin, N. G.; Sheronova, T. L.
2000
Controllability types of a circular membrane with rotationally symmetric data. Zbl 0964.93016
Avdonin, S. A.; Ivanov, S. A.
1999
Sampling and interpolation of functions with multi-band spectra and controllability problems. Zbl 0933.35026
Avdonin, Sergei; Moran, William
1999
Boundary inverse problems for networks of vibrating strings with attached masses. Zbl 1390.35410
Avdonin, Sergei; Avdonina, Nina; Edward, Julian
2016
Control and inverse problems for networks of vibrating strings with attached masses. Zbl 1371.35336
Al-Musallam, F.; Avdonin, S.; Avdonina, N.; Edward, J.
2016
Source identification problems for the wave equation on graphs. Zbl 1330.35485
Avdonin, Sergei; Nicaise, Serge
2015
Inverse source problem for the 1D Schrödinger equation. Zbl 1254.35239
Avdonin, S. A.; Mikhaylov, V. S.
2012
Inverse problem on the semi-axis: local approach. Zbl 1230.35061
Avdonin, S. A.; Belinskiy, B. P.; Matthews, John V.
2011
Sampling and interpolation problems for vector valued signals in the Paley-Wiener spaces. Zbl 1390.94647
Avdonin, Sergei A.; Ivanov, Sergei A.
2008
Dynamical inverse problem for the Schrödinger equation (BC-method). Zbl 1194.35496
Avdonin, S. A.; Belishev, M. I.
2005
Exponential bases in Sobolev spaces in control and observation problems. Zbl 0935.35014
Avdonin, Sergei A.; Ivanov, Sergei A.; Russell, David L.
1999
The dynamical inverse problem for a nonselfadjoint Sturm-Liouville operator. Zbl 0991.34021
Avdonin, S. A.; Belishev, M. I.; Rozhkov, Yu. S.
1998
Dirichlet boundary control in a capture region for the multidimensional wave equation. Zbl 0860.93015
Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A.
1991
Controllability for a string with attached masses and Riesz bases for asymmetric spaces. Zbl 1429.93035
Avdonin, Sergei; Edward, Julian
2019
Inverse problems for the heat equation with memory. Zbl 1407.45006
Avdonin, Sergei A.; Ivanov, Sergei A.; Wang, Jun-Min
2019
On inverse dynamical and spectral problems for the wave and Schrödinger equations on finite trees. The leaf peeling method. Zbl 1386.81084
Avdonin, S. A.; Mikhaylov, V. S.; Nurtazina, K. B.
2017
Source identification for the differential equation with memory. Zbl 1383.35233
Avdonin, S. A.; Murzabekova, G. Y.; Nurtazina, K. B.
2017
Determining distributed parameters in a neuronal cable model on a tree graph. Zbl 1366.93119
Avdonin, Sergei; Bell, Jonathan; Nurtazina, Karlygash
2017
On controllability of a linear elastic beam with memory under longitudinal load. Zbl 1302.93041
Avdonin, Sergei A.; Belinskiy, Boris P.
2014
Sampling of multi-band signals. Zbl 0992.94502
Moran, Bill; Avdonin, Sergei
2000
The Levin-Golovin theorem for Sobolev spaces. Zbl 0989.46017
Avdonin, S. A.; Ivanov, S. A.
2000
Exponential series in the problems of initial and pointwise control of a rectangular vibrating membrane. Zbl 0863.93041
Avdonin, S. A.; Ivanov, S. A.; Joó, I.
1995
Boundary controllability problems for the wave equation in a parallelepiped. Zbl 0822.93011
Avdonin, S.; Ivanov, S. A.
1995
Controllability and quasicontrollability of parabolic systems with delay. Zbl 0806.93027
Avdonin, S. A.; Gorshkova, O. Ya.
1992
Family of exponents and controllability of a rectangular membrane. Zbl 0743.93015
Avdonin, S. A.; Ivanov, S. A.; Joó, I.
1990
On Riesz bases from vector exponentials. I. Zbl 0725.30036
Avdonin, S. A.; Ivanov, S. A.; Joó, I.
1989
On the solution of the exponential moment problem in the space $$L^2(0,\infty)$$. Zbl 0409.42007
Avdonin, S. A.
1977
Controllability for a string with attached masses and Riesz bases for asymmetric spaces. Zbl 1429.93035
Avdonin, Sergei; Edward, Julian
2019
Inverse problems for the heat equation with memory. Zbl 1407.45006
Avdonin, Sergei A.; Ivanov, Sergei A.; Wang, Jun-Min
2019
Exact controllability for string with attached masses. Zbl 1390.93395
Avdonin, Sergei; Edward, Julian
2018
A linear algorithm for the identification of a weakly singular relaxation kernel using two boundary measurements. Zbl 1390.45007
Avdonin, Sergei; Pandolfi, Luciano
2018
On inverse dynamical and spectral problems for the wave and Schrödinger equations on finite trees. The leaf peeling method. Zbl 1386.81084
Avdonin, S. A.; Mikhaylov, V. S.; Nurtazina, K. B.
2017
Source identification for the differential equation with memory. Zbl 1383.35233
Avdonin, S. A.; Murzabekova, G. Y.; Nurtazina, K. B.
2017
Determining distributed parameters in a neuronal cable model on a tree graph. Zbl 1366.93119
Avdonin, Sergei; Bell, Jonathan; Nurtazina, Karlygash
2017
Boundary inverse problems for networks of vibrating strings with attached masses. Zbl 1390.35410
Avdonin, Sergei; Avdonina, Nina; Edward, Julian
2016
Control and inverse problems for networks of vibrating strings with attached masses. Zbl 1371.35336
Al-Musallam, F.; Avdonin, S.; Avdonina, N.; Edward, J.
2016
On the inverse problem of the two-velocity tree-like graph. Zbl 1335.35290
Avdonin, Sergei; Abdon, Choque Rivero; Leugering, Günter; Mikhaylov, Victor
2015
Determining a distributed conductance parameter for a neuronal cable model defined on a tree graph. Zbl 1364.92004
Avdonin, Sergei; Bell, Jonathan
2015
The spectral estimation problem in infinite-dimensional spaces. Zbl 1348.46074
Avdonin, S. A.; Mikhaylov, V. S.
2015
Source identification problems for the wave equation on graphs. Zbl 1330.35485
Avdonin, Sergei; Nicaise, Serge
2015
Reconstructing the potential for the one-dimensional Schrödinger equation from boundary measurements. Zbl 1286.49039
Avdonin, Sergei A.; Mikhaylov, Victor S.; Ramdani, Karim
2014
Source identification for the wave equation on graphs. Zbl 1322.35171
Avdonin, Sergei; Nicaise, Serge
2014
On controllability of a linear elastic beam with memory under longitudinal load. Zbl 1302.93041
Avdonin, Sergei A.; Belinskiy, Boris P.
2014
Simultaneous temperature and flux controllability for heat equations with memory. Zbl 1264.76014
Avdonin, S.; Pandolfi, L.
2013
Exact boundary controllability of coupled hyperbolic equations. Zbl 1284.93038
Avdonin, Sergei; Choque Rivero, Abdon; de Teresa, Luz
2013
On controllability of a non-homogeneous elastic string with memory. Zbl 1252.93022
Avdonin, Sergei A.; Belinskiy, Boris P.
2013
Determining a distributed parameter in a neural cable model via a boundary control method. Zbl 1264.92011
Avdonin, Sergei; Bell, Jonathan
2013
Temperature and heat flux dependence/independence for heat equations with memory. Zbl 1298.93067
Avdonin, Sergei; Pandolfi, Luciano
2012
Inverse source problem for the 1D Schrödinger equation. Zbl 1254.35239
Avdonin, S. A.; Mikhaylov, V. S.
2012
Boundary control approach to the spectral estimation problem: the case of multiple poles. Zbl 1248.93076
Avdonin, Sergei; Bulanova, Anna
2011
Dynamical inverse problem on a metric tree. Zbl 1225.35254
Avdonin, S. A.; Belinskiy, B. P.; Matthews, J. V.
2011
Inverse problem on the semi-axis: local approach. Zbl 1230.35061
Avdonin, S. A.; Belinskiy, B. P.; Matthews, John V.
2011
Spectral estimation and inverse initial boundary value problems. Zbl 1193.93071
Avdonin, Sergei; Gesztesy, Fritz; Makarov, Konstantin A.
2010
Inverse problems for quantum trees. II: Recovering matching conditions for star graphs. Zbl 1208.35166
Avdonin, Sergei; Kurasov, Pavel; Nowaczyk, Marlena
2010
On an inverse problem for tree-like networks of elastic strings. Zbl 1329.34036
Avdonin, S.; Leugering, G.; Mikhaylov, V.
2010
Erratum to: “The boundary control approach to inverse spectral theory”. Zbl 1221.81153
Avdonin, Sergei; Mikhaylov, Victor
2010
The boundary control approach to inverse spectral theory. Zbl 1187.81203
Avdonin, Sergei; Mikhaylov, Victor
2010
Controllability of a nonhomogeneous string and ring under time dependent tension. Zbl 1193.93070
Avdonin, S. A.; Belinskiy, B. P.; Pandolfi, L.
2010
Iterative methods for solving a nonlinear boundary inverse problem in glaciology. Zbl 1173.35718
Avdonin, S.; Kozlov, V.; Maxwell, D.; Truffer, M.
2009
On controllability of an elastic ring. Zbl 1211.93017
Avdonin, Sergei A.; Belinskiy, Boris P.; Ivanov, Sergei A.
2009
Boundary control approach to the spectral estimation problem: the case of simple poles. Zbl 1182.93022
Avdonin, Sergei; Bulanova, Anna; Nicolsky, Dimitry
2009
Boundary control method and coefficient identification in the presence of boundary dissipation. Zbl 1175.93059
Avdonin, S. A.; Pandolfi, L.
2009
Inverse problems for quantum trees. Zbl 1148.35356
Avdonin, Sergei; Kurasov, Pavel
2008
Control problems on quantum graphs. Zbl 1153.81483
Avdonin, Sergei
2008
Controllability of partial differential equations on graphs. Zbl 1151.93004
Avdonin, Sergei; Mikhaylov, Victor
2008
Sampling and interpolation problems for vector valued signals in the Paley-Wiener spaces. Zbl 1390.94647
Avdonin, Sergei A.; Ivanov, Sergei A.
2008
The boundary control approach to the Titchmarsh-Weyl $$m$$-function. I: The response operator and the $$A$$-amplitude. Zbl 1140.93023
Avdonin, Sergei; Mikhaylov, Victor; Rybkin, Alexei
2007
Construction of sampling and interpolating sequences for multi-band signals. The two-band case. Zbl 1275.94020
Avdonin, Sergei; Bulanova, Anna; Moran, William
2007
On controllability of a rotating string. Zbl 1112.93008
Avdonin, Sergei A.; Belinskiy, Boris P.
2006
Determining the potential in the Schrödinger equation from the Dirichlet to Neumann map by the boundary control method. Zbl 1095.35061
Avdonin, S.; Lenhart, S.; Protopopescu, V.
2005
On the basis properties of the functions arising in the boundary control problem of a string with a variable tension. Zbl 1162.93006
Avdonin, Sergei A.; Belinskiy, Boris P.
2005
Dynamical inverse problem for the Schrödinger equation (BC-method). Zbl 1194.35496
Avdonin, S. A.; Belishev, M. I.
2005
Controllability of a string under tension. Zbl 1067.93033
Avdonin, Sergei A.; Belinskiy, Boris P.
2003
Riesz bases formed by exponentials and divided differences. Zbl 0999.42018
Avdonin, S. A.; Ivanov, S. A.
2002
Solving the dynamical inverse problem for the Schrödinger equation by the boundary control method. Zbl 1001.35121
Avdonin, Sergei; Lenhart, Suzanne; Protopopescu, Vladimir
2002
Ingham-type inequalities and Riesz bases of divided differences. Zbl 1031.93098
Avdonin, Sergei; Moran, William
2001
Simultaneous controllability in sharp time for two elastic strings. Zbl 0995.93036
Avdonin, Sergei; Tucsnak, Marius
2001
Simultaneous control problems for systems of elastic strings and beams. Zbl 0986.93037
Avdonin, S. A.; Moran, W.
2001
The “window problem” for series of complex exponentials. Zbl 0960.42012
Seidman, T. I.; Avdonin, S. A.; Ivanov, S. A.
2000
Exponential bases in Sobolev spaces in control and observation problems for the wave equation. Zbl 0966.93057
Avdonin, S. A.; Ivanov, S. A.; Russell, D. L.
2000
Identification of a piecewise constant coefficient in the beam equation. Zbl 0954.74042
Avdonin, S. A.; Medhin, N. G.; Sheronova, T. L.
2000
Sampling of multi-band signals. Zbl 0992.94502
Moran, Bill; Avdonin, Sergei
2000
The Levin-Golovin theorem for Sobolev spaces. Zbl 0989.46017
Avdonin, S. A.; Ivanov, S. A.
2000
Controllability types of a circular membrane with rotationally symmetric data. Zbl 0964.93016
Avdonin, S. A.; Ivanov, S. A.
1999
Sampling and interpolation of functions with multi-band spectra and controllability problems. Zbl 0933.35026
Avdonin, Sergei; Moran, William
1999
Exponential bases in Sobolev spaces in control and observation problems. Zbl 0935.35014
Avdonin, Sergei A.; Ivanov, Sergei A.; Russell, David L.
1999
The dynamical inverse problem for a nonselfadjoint Sturm-Liouville operator. Zbl 0991.34021
Avdonin, S. A.; Belishev, M. I.; Rozhkov, Yu. S.
1998
The BC-method in the inverse problem for the heat equation. Zbl 0886.35166
Avdonin, S. A.; Belishev, M. I.; Rozhkov, Yu. S.
1997
Boundary control and dynamical inverse problem for nonselfadjoint Sturm-Liouville operator (BC-method). Zbl 0859.93030
Avdonin, Sergei; Belishev, Mikhail
1996
Families of exponentials. The method of moments in controllability problems for distributed parameter systems. Zbl 0866.93001
Avdonin, S. A.; Ivanov, S. A.
1995
Identification of $$q(x)$$ in $$u_ t=\Delta u-qu$$ from boundary observations. Zbl 0828.93021
Avdonin, Sergei; Seidman, Thomas I.
1995
Exponential series in the problems of initial and pointwise control of a rectangular vibrating membrane. Zbl 0863.93041
Avdonin, S. A.; Ivanov, S. A.; Joó, I.
1995
Boundary controllability problems for the wave equation in a parallelepiped. Zbl 0822.93011
Avdonin, S.; Ivanov, S. A.
1995
Controllability in a filled domain for a multidimensional wave equation with the singular boundary control. Zbl 0870.93004
Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A.
1994
Boundary control and a matrix inverse problem for the equation $$u_{tt}- u_{xx}+V(x)u=0$$. Zbl 0782.93054
Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A.
1992
Controllability and quasicontrollability of parabolic systems with delay. Zbl 0806.93027
Avdonin, S. A.; Gorshkova, O. Ya.
1992
Boundary control and an inverse matrix problem for the equation $$u_{tt}-u_{xx}+V(x)u=O$$. Zbl 0735.93042
Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A.
1991
Dirichlet boundary control in a capture region for the multidimensional wave equation. Zbl 0860.93015
Avdonin, S. A.; Belishev, M. I.; Ivanov, S. A.
1991
Family of exponents and controllability of a rectangular membrane. Zbl 0743.93015
Avdonin, S. A.; Ivanov, S. A.; Joó, I.
1990
A generating matrix-valued function in problems of controlling the vibrations of connected strings. Zbl 0735.35011
Avdonin, S. A.; Ivanov, S. A.
1989
On Riesz bases from vector exponentials. I. Zbl 0725.30036
Avdonin, S. A.; Ivanov, S. A.; Joó, I.
1989
Riesz bases of exponentials and sine-type functions. Zbl 0645.42027
Avdonin, S. A.; Joó, I.
1988
On the question of Riesz bases of exponential functions in $$L^2$$. Zbl 0427.46016
Avdonin, S. A.
1979
On the solution of the exponential moment problem in the space $$L^2(0,\infty)$$. Zbl 0409.42007
Avdonin, S. A.
1977
On the question of Riesz bases of exponentials in L$$^2$$. Zbl 0296.46033
Avdonin, S. A.
1974
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#### Cited by 353 Authors

 34 Avdonin, Sergeĭ Anatol’evich 21 Belishev, Mikhail Igorevitch 17 Xu, Gen-Qi 14 Mikhaylov, Victor S. 13 Pandolfi, Luciano 12 Boumenir, Amin A. 12 Ivanov, Sergei A. 9 Vu Kim Tuan 9 Zuazua, Enrique 8 Micu, Sorin 7 Guo, Bao-Zhu 7 Sklyar, Grigory Mikhailovitch 6 Belinsky, Boris P. 6 Han, Zhongjie 6 Kurasov, Pavel B. 6 Wang, Junmin 5 Martinez, Patrick 5 Mikhaylov, Alexander S. 5 Roventa, Ionel 5 Tucsnak, Marius 4 Bellassoued, Mourad 4 Cannarsa, Piermarco 4 Edward, Julian 4 Guo, Yanni 4 Halanay, Andrei D. 4 Ibragimov, Gafurjan I. 4 Jacob, Birgit 4 Jeribi, Aref 4 Leugering, Günter 4 Sakhnovich, Alexander L. 4 Tukhtasinov, M. T. 4 Vancostenoble, Judith 3 Al-Musallam, Fadhel A. 3 Beauchard, Karine 3 Bell, Jonathan 3 Ben Amara, Jamel 3 Bugariu, Ioan Florin 3 Chentouf, Boumediène 3 Joó, István 3 Lev, Nir 3 Mikhaylov, Alexandr 3 Miller, Luc 3 Shang, Yingfeng 3 Shubov, Marianna A. 3 Spitkovsky, Ilya M. 3 Szkibiel, Grzegorz 3 Vakulenko, Aleksei F. 3 Vlasov, Viktor Valentinovich 3 Zhang, Xu 2 Avalos, George 2 Bulanova, Anna 2 Choulli, Mourad 2 Dáger, René 2 de Teresa, Luz 2 Ellouz, Hanen 2 Ershova, Yulia Yu. 2 Feki, Ines 2 Fricain, Emmanuel 2 Fritzsche, Bernd 2 Gaunard, Frédéric 2 Grepstad, Sigrid 2 Gugat, Martin 2 Helsing, Johan 2 Hryniv, Rostyslav O. 2 Johansson, B. Tomas 2 Kachalov, Aleksandr Pavlovich 2 Karlovich, Yuri I. 2 Karpenko, Irina I. 2 Kellay, Karim 2 Kian, Yavar 2 Kirstein, Bernd 2 Kiselev, Alexander V. 2 Klibanov, Michael V. 2 Kozlov, Vladimir A. 2 Lasiecka, Irena 2 Lassas, Matti 2 Laurent, Camille 2 Lissy, Pierre 2 Loreti, Paola 2 Mitra, Debanjana 2 Moran, William 2 Nikol’skiĭ, Nikolaĭ Kapitonovich 2 Omari, Youssef 2 Partington, Jonathan R. 2 Ramdani, Karim 2 Rautian, Nadegda Aleksandrovna 2 Rebarber, Richard 2 Russell, David L. 2 Rybkin, Alexei 2 Satimov, Numan Yunusovich 2 Soccorsi, Eric 2 Tenenbaum, Gérald 2 Trélat, Emmanuel 2 Walha, Ines 2 Weiss, George 2 Woźniak, Jarosław 2 Yamamoto, Masahiro 2 Zhang, Yaxuan 2 Zhao, Zhixue 2 Zwart, Hans J. ...and 253 more Authors
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#### Cited in 105 Serials

 31 Journal of Mathematical Analysis and Applications 23 Journal of Mathematical Sciences (New York) 15 Journal of Differential Equations 13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 11 Journal of Functional Analysis 11 Systems & Control Letters 10 SIAM Journal on Control and Optimization 10 Evolution Equations and Control Theory 6 Mathematical Methods in the Applied Sciences 6 The Journal of Fourier Analysis and Applications 5 Applicable Analysis 5 Mathematical Notes 5 Proceedings of the American Mathematical Society 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Journal of Inverse and Ill-Posed Problems 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Inverse Problems and Imaging 5 Mathematical Control and Related Fields 4 MCSS. Mathematics of Control, Signals, and Systems 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 International Journal of Applied Mathematics and Computer Science 3 Journal of Mathematical Physics 3 Applied Mathematics and Computation 3 Automatica 3 Integral Equations and Operator Theory 3 Numerical Functional Analysis and Optimization 3 Transactions of the American Mathematical Society 3 Acta Mathematica Hungarica 3 Applied Mathematics Letters 3 Fractional Calculus & Applied Analysis 3 Journal of Systems Science and Complexity 3 Inverse Problems in Science and Engineering 3 Discrete and Continuous Dynamical Systems. Series S 2 International Journal of Control 2 Inverse Problems 2 Journal of Applied Mathematics and Mechanics 2 Periodica Mathematica Hungarica 2 Wave Motion 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Prikladnaya Matematika i Mekhanika 2 Applied Mathematics and Optimization 2 Acta Applicandae Mathematicae 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 SIAM Journal on Scientific Computing 2 Electronic Journal of Differential Equations (EJDE) 2 Discrete and Continuous Dynamical Systems 2 Abstract and Applied Analysis 2 Journal of Dynamical and Control Systems 2 Complex Analysis and Operator Theory 2 Journal of Physics A: Mathematical and Theoretical 2 Mathematical Modelling of Natural Phenomena 2 Journal of Spectral Theory 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Journal d’Analyse Mathématique 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 Studia Mathematica 1 Mathematics of Computation 1 Advances in Mathematics 1 Archiv der Mathematik 1 Collectanea Mathematica 1 Czechoslovak Mathematical Journal 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal of Optimization Theory and Applications 1 Mathematika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quarterly of Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Applied Numerical Mathematics 1 Asymptotic Analysis 1 Computational Mathematics and Modeling 1 International Journal of Adaptive Control and Signal Processing 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Automation and Remote Control 1 SIAM Journal on Mathematical Analysis 1 Computational Optimization and Applications 1 Journal of Computer and Systems Sciences International 1 Zapiski Nauchnykh Seminarov POMI 1 Applied and Computational Harmonic Analysis 1 St. Petersburg Mathematical Journal 1 Mathematical Problems in Engineering 1 Journal of Applied Analysis 1 Computational Geosciences 1 Communications in Contemporary Mathematics 1 Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Central European Journal of Mathematics ...and 5 more Serials
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#### Cited in 41 Fields

 160 Partial differential equations (35-XX) 156 Systems theory; control (93-XX) 48 Mechanics of deformable solids (74-XX) 45 Operator theory (47-XX) 43 Ordinary differential equations (34-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 24 Numerical analysis (65-XX) 21 Functions of a complex variable (30-XX) 18 Functional analysis (46-XX) 18 Quantum theory (81-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 16 Integral equations (45-XX) 12 Mechanics of particles and systems (70-XX) 12 Information and communication theory, circuits (94-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Fluid mechanics (76-XX) 6 Combinatorics (05-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Biology and other natural sciences (92-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Number theory (11-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Computer science (68-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX)