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Savchuk, Artem M.

Co-Author Distance
Author ID: savchuk.artem-m Recent zbMATH articles by "Savchuk, Artem M."
Published as: Savchuk, A. M.; Savchuk, Artem M.; Savchuk, Artëm M.
External Links: MGP
Documents Indexed: 41 Publications since 1999, including 7 Additional arXiv Preprints
Co-Authors: 7 Co-Authors with 29 Joint Publications
195 Co-Co-Authors
all top 5

Co-Authors

12 single-authored
16 Shkalikov, Andreĭ Andreevich
10 Sadovnichaya, Inna Viktorovna
1 Ivanov, Aleksandr S.
1 Kappeler, Thomas
1 Neĭman-zade, Murad Iskender-ogly
1 Shakalikov, A. A.
1 Topalov, Peter J.
all top 5

Serials

9 Mathematical Notes
4 Journal of Mathematical Sciences (New York)
4 Differential Equations
3 Doklady Mathematics
3 Proceedings of the Steklov Institute of Mathematics
2 Functional Analysis and its Applications
2 Transactions of the Moscow Mathematical Society
1 Russian Mathematical Surveys
1 Russian Journal of Mathematical Physics
1 Sbornik: Mathematics
1 Izvestiya: Mathematics
1 Lobachevskii Journal of Mathematics

Fields

38 Ordinary differential equations (34-XX)
13 Operator theory (47-XX)
3 Functional analysis (46-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Numerical analysis (65-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

28 Publications have been cited 585 times in 335 Documents Cited by ▼ Year ▼
Sturm-Liouville operators with singular potentials. Zbl 0968.34072
Savchuk, A. M.; Shkalikov, A. A.
160
1999
Sturm-Liouville operators with distribution potentials. Zbl 1066.34085
Savchuk, A. M.; Shkalikov, A. A.
94
2003
Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability. Zbl 1271.34017
Savchuk, A. M.; Shkalikov, A. A.
45
2010
The Dirac operator with complex-valued summable potential. Zbl 1320.34118
Savchuk, A. M.; Shkalikov, A. A.
44
2014
On the eigenvalues of the Sturm-Liouville operator with potentials from Sobolev spaces. Zbl 1129.34055
Savchuk, A. M.; Shkalikov, A. A.
35
2006
Inverse problem for Sturm-Liouville operators with distribution potentials: reconstruction from two spectra. Zbl 1396.34008
Savchuk, A. M.; Shkalikov, A. A.
26
2005
Trace formula for Sturm-Liouville operators with singular potentials. Zbl 1005.34077
Savchuk, A. M.; Shakalikov, A. A.
24
2001
On the eigenvalues and eigenfunctions of the Sturm-Liouville operator with a singular potential. Zbl 0996.34023
Savchuk, A. M.
21
2001
Spectral properties of the complex Airy operator on the half-line. Zbl 1372.34131
Savchuk, Artem M.; Shkalikov, A. A.
18
2017
On the properties of maps connected with inverse Sturm-Liouville problems. Zbl 1233.34010
Savchuk, A. M.; Shkalikov, A. A.
16
2008
First-order regularised trace of the Sturm-Liouville operator with \(\delta\)-potential. Zbl 1015.34075
Savchuk, A. M.
15
2000
Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients. Zbl 1477.34032
Savchuk, Artëm M.; Shkalikov, Andreĭ A.
12
2020
Asymptotic formulas for fundamental solutions of the Dirac system with complex-valued integrable potential. Zbl 1283.34078
Savchuk, A. M.; Sadovnichaya, I. V.
11
2013
Recovering a potential of the Sturm-Liouville problem from finite sets of spectral data. Zbl 1327.34031
Savchuk, A. M.; Shkalikov, A. A.
11
2014
The Riesz basis property of generalized eigenspaces for a Dirac system with integrable potential. Zbl 1478.34097
Savchuk, A. M.; Sadovnichaya, I. V.
11
2015
The Riesz basis property with brackets for Dirac systems with summable potentials. Zbl 1409.34073
Savchuk, A. M.; Sadovnichaya, I. V.
9
2018
Trace of order \((-1)\) for a string with singular weight. Zbl 1384.34027
Ivanov, A. S.; Savchuk, A. M.
6
2017
On the basis property of the system of eigenfunctions and associated functions of a one-dimensional Dirac operator. Zbl 1416.34075
Savchuk, Artem M.
6
2018
Uniform stability of the inverse Sturm-Liouville problem with respect to the spectral function in the scale of Sobolev spaces. Zbl 1292.34014
Savchuk, A. M.; Shkalikov, A. A.
5
2013
Estimates of Riesz constants for the Dirac system with an integrable potential. Zbl 1433.34112
Savchuk, A. M.; Sadovnichaya, I. V.
4
2018
On the interpolation of analytic mappings. Zbl 1291.46020
Savchuk, A. M.; Shkalikov, A. A.
3
2013
Reconstruction of the potential of the Sturm-Liouville operator from a finite set of eigenvalues and normalizing constants. Zbl 1352.34022
Savchuk, Artem M.
2
2016
Schrödinger operators with singular potentials. Zbl 1020.34081
Neiman-zade, M. I.; Savchuk, A. M.
2
2002
On the existence of an operator group generated by the one-dimensional Dirac system. Zbl 1443.47045
Savchuk, A. M.; Sadovnichaya, I. V.
1
2019
Equiconvergence of spectral decompositions for Sturm-Liouville operators: triples of Lebesgue spaces. Zbl 1471.34052
Savchuk, A. M.; Sadovnichaya, I. V.
1
2021
Uniform estimates of remainders in spectral analysis of linear differential systems. Zbl 1422.34247
Savchuk, Artëm M.
1
2019
Equiconvergence of spectral decompositions for Sturm-Liouville operators with a distributional potential in scales of spaces. Zbl 1486.34169
Savchuk, A. M.; Sadovnichaya, I. V.
1
2021
Dirac system with potential lying in Besov spaces. Zbl 1353.34109
Savchuk, A. M.
1
2016
Equiconvergence of spectral decompositions for Sturm-Liouville operators: triples of Lebesgue spaces. Zbl 1471.34052
Savchuk, A. M.; Sadovnichaya, I. V.
1
2021
Equiconvergence of spectral decompositions for Sturm-Liouville operators with a distributional potential in scales of spaces. Zbl 1486.34169
Savchuk, A. M.; Sadovnichaya, I. V.
1
2021
Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients. Zbl 1477.34032
Savchuk, Artëm M.; Shkalikov, Andreĭ A.
12
2020
On the existence of an operator group generated by the one-dimensional Dirac system. Zbl 1443.47045
Savchuk, A. M.; Sadovnichaya, I. V.
1
2019
Uniform estimates of remainders in spectral analysis of linear differential systems. Zbl 1422.34247
Savchuk, Artëm M.
1
2019
The Riesz basis property with brackets for Dirac systems with summable potentials. Zbl 1409.34073
Savchuk, A. M.; Sadovnichaya, I. V.
9
2018
On the basis property of the system of eigenfunctions and associated functions of a one-dimensional Dirac operator. Zbl 1416.34075
Savchuk, Artem M.
6
2018
Estimates of Riesz constants for the Dirac system with an integrable potential. Zbl 1433.34112
Savchuk, A. M.; Sadovnichaya, I. V.
4
2018
Spectral properties of the complex Airy operator on the half-line. Zbl 1372.34131
Savchuk, Artem M.; Shkalikov, A. A.
18
2017
Trace of order \((-1)\) for a string with singular weight. Zbl 1384.34027
Ivanov, A. S.; Savchuk, A. M.
6
2017
Reconstruction of the potential of the Sturm-Liouville operator from a finite set of eigenvalues and normalizing constants. Zbl 1352.34022
Savchuk, Artem M.
2
2016
Dirac system with potential lying in Besov spaces. Zbl 1353.34109
Savchuk, A. M.
1
2016
The Riesz basis property of generalized eigenspaces for a Dirac system with integrable potential. Zbl 1478.34097
Savchuk, A. M.; Sadovnichaya, I. V.
11
2015
The Dirac operator with complex-valued summable potential. Zbl 1320.34118
Savchuk, A. M.; Shkalikov, A. A.
44
2014
Recovering a potential of the Sturm-Liouville problem from finite sets of spectral data. Zbl 1327.34031
Savchuk, A. M.; Shkalikov, A. A.
11
2014
Asymptotic formulas for fundamental solutions of the Dirac system with complex-valued integrable potential. Zbl 1283.34078
Savchuk, A. M.; Sadovnichaya, I. V.
11
2013
Uniform stability of the inverse Sturm-Liouville problem with respect to the spectral function in the scale of Sobolev spaces. Zbl 1292.34014
Savchuk, A. M.; Shkalikov, A. A.
5
2013
On the interpolation of analytic mappings. Zbl 1291.46020
Savchuk, A. M.; Shkalikov, A. A.
3
2013
Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability. Zbl 1271.34017
Savchuk, A. M.; Shkalikov, A. A.
45
2010
On the properties of maps connected with inverse Sturm-Liouville problems. Zbl 1233.34010
Savchuk, A. M.; Shkalikov, A. A.
16
2008
On the eigenvalues of the Sturm-Liouville operator with potentials from Sobolev spaces. Zbl 1129.34055
Savchuk, A. M.; Shkalikov, A. A.
35
2006
Inverse problem for Sturm-Liouville operators with distribution potentials: reconstruction from two spectra. Zbl 1396.34008
Savchuk, A. M.; Shkalikov, A. A.
26
2005
Sturm-Liouville operators with distribution potentials. Zbl 1066.34085
Savchuk, A. M.; Shkalikov, A. A.
94
2003
Schrödinger operators with singular potentials. Zbl 1020.34081
Neiman-zade, M. I.; Savchuk, A. M.
2
2002
Trace formula for Sturm-Liouville operators with singular potentials. Zbl 1005.34077
Savchuk, A. M.; Shakalikov, A. A.
24
2001
On the eigenvalues and eigenfunctions of the Sturm-Liouville operator with a singular potential. Zbl 0996.34023
Savchuk, A. M.
21
2001
First-order regularised trace of the Sturm-Liouville operator with \(\delta\)-potential. Zbl 1015.34075
Savchuk, A. M.
15
2000
Sturm-Liouville operators with singular potentials. Zbl 0968.34072
Savchuk, A. M.; Shkalikov, A. A.
160
1999
all cited Publications top 5 cited Publications
all top 5

Cited by 252 Authors

22 Savchuk, Artem M.
18 Shkalikov, Andreĭ Andreevich
12 Akhtyamov, Azamat Moukhtarovich
12 Sadovnichaya, Inna Viktorovna
11 Bondarenko, Natalia P.
11 Sultanaev, Yaudat Talgatovich
10 Buterin, Sergey Alexandrovich
10 Mitrokhin, Sergeĭ Ivanovich
9 Kostenko, Aleksey S.
9 Malamud, Mark M.
9 Sadovnichiĭ, Viktor Antonovich
8 Kappeler, Thomas
8 Ugurlu, Ekin
7 Kanguzhin, Baltabek Esmatovich
7 Khanmamedov, Agil Khanmamed ogly
7 Kravchenko, Vladislav Viktorovich
7 Mirzoev, Karakhan Agakhan
7 Mityagin, Boris Samuilovich
6 Bruk, Vladislav Moiseevich
6 Djakov, Plamen B.
6 Eckhardt, Jonathan
6 Hryniv, Rostyslav O.
6 Pechentsov, A. S.
6 Topalov, Peter J.
6 Yang, Chuanfu
6 Zvereva, Margarita Borisovna
5 Konechnaya, Natal’ya Nikolaevna
5 Weikard, Rudi
4 Burlutskaya, Marija Shaukatovna
4 Kritskov, Leonid V.
4 Lunyov, Anton A.
4 Makin, Alexander S.
4 Teschl, Gerald
4 Uskova, Natal’ya Borisovna
3 Albeverio, Sergio A.
3 Aliev, Araz Rafig oglu
3 Amirov, Rauf Kh.
3 Avdonin, Sergeĭ Anatol’evich
3 Baskakov, Anatoliĭ Grigor’evich
3 Đurić, Nebojša
3 Faddeev, Mikhail Mikhaĭlovich
3 Güldü, Yalçın
3 Huseynov, Hidayat Mahammad
3 Ibragimov, Il’dar Abdullovich
3 Ishkin, Khabir Kabirovich
3 Ivanov, Aleksandr S.
3 Kamenskiĭ, Mikhaĭl Igor’evich
3 Krishtal, Ilya Arkadievich
3 Mamedova, Afag F.
3 Manafov, Manaf Dzh.
3 Molnar, Jan-Cornelius
3 Mykytyuk, Yaroslav V.
3 Nalzhupbayeva, Gulzat
3 Polyakov, Dmitriĭ Mikhaĭlovich
3 Shi, Guoliang
3 Shveikina, O. A.
3 Smorodina, Natal’ya Vasil’evna
3 Torba, Sergii M.
3 Vatolkin, M. Yu.
3 Yan, Jun
3 Yeskermessuly, Alibek
2 Abbasova, Khatira E.
2 Baev, Aleksandr Dmitrievich
2 Bairamov, Elgiz
2 Braeutigam, Irina N.
2 Chitorkin, Egor E.
2 Ferzullazadeh, Abid G.
2 Gadyl’shin, Timur Rustemovich
2 Gal’kovskii, Egor D.
2 Ghatasheh, Ahmed
2 Guliyev, Namig Jamiyyat oglu
2 Khmelnytskaya, Kira V.
2 Korotyaev, Evgeny L.
2 Kosarev, A. P.
2 Koyunbakan, Hikmet
2 Makhmudova, M. G.
2 Mirzaev, Olim Èrkinovich
2 Mukminov, Farit Khamzaevich
2 Nazarov, Alexander I.
2 Nazirova, Èl’vira Aĭratovna
2 Nicolussi, Noema
2 Redolfi, Steven
2 Ruzhansky, Michael V.
2 Rybkin, Alexei
2 Rzepnicki, Łukasz
2 Schaad, Beat
2 Shabrov, Sergey Alexandrovich
2 Tokmagambetov, Niyaz Esenzholovich
2 Tulenov, Kanat Serikovich
2 Tumanov, Sergey N.
2 Vladykina, Veronika Evgen’evna
1 Abdullaev, T. Sh.
1 Abdullayeva, Afsana M.
1 Adduci, James
1 Agafonkin, G. A.
1 Agibalova, Anna V.
1 Aitbaeva, A. A.
1 Akhmerova, Eh. F.
1 Aldana, Clara L.
1 An, Qi
...and 152 more Authors
all top 5

Cited in 98 Serials

40 Differential Equations
33 Mathematical Notes
11 Mathematical Methods in the Applied Sciences
11 Doklady Mathematics
10 Journal of Mathematical Analysis and Applications
10 Journal of Mathematical Physics
10 Journal of Differential Equations
10 Journal of Mathematical Sciences (New York)
9 Journal of Functional Analysis
9 Russian Mathematics
6 Ukrainian Mathematical Journal
6 Siberian Mathematical Journal
6 Transactions of the Moscow Mathematical Society
6 Proceedings of the Steklov Institute of Mathematics
6 Ufimskiĭ Matematicheskiĭ Zhurnal
5 Integral Equations and Operator Theory
5 Analysis and Mathematical Physics
4 Moscow University Mathematics Bulletin
4 Functional Analysis and its Applications
4 Mathematische Nachrichten
4 Results in Mathematics
4 Lobachevskii Journal of Mathematics
4 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan
4 Azerbaijan Journal of Mathematics
3 Inverse Problems
3 Computational Mathematics and Mathematical Physics
3 Russian Journal of Mathematical Physics
3 Turkish Journal of Mathematics
3 Inverse Problems and Imaging
3 Journal of Spectral Theory
2 Letters in Mathematical Physics
2 Russian Mathematical Surveys
2 Theoretical and Mathematical Physics
2 Theory of Probability and its Applications
2 Applied Mathematics and Computation
2 Monatshefte für Mathematik
2 Proceedings of the American Mathematical Society
2 Quaestiones Mathematicae
2 Applied Mathematics Letters
2 St. Petersburg Mathematical Journal
2 Journal of Inverse and Ill-Posed Problems
2 Sbornik: Mathematics
2 Communications in Nonlinear Science and Numerical Simulation
2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
2 Inverse Problems in Science and Engineering
2 Complex Variables and Elliptic Equations
2 Complex Analysis and Operator Theory
2 Operators and Matrices
2 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
2 Eurasian Mathematical Journal
2 Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva
2 Vestnik Rossiĭskikh Universitetov. Matematika
2 Baku Mathematical Journal
1 Archive for Rational Mechanics and Analysis
1 Communications in Mathematical Physics
1 Journal d’Analyse Mathématique
1 Linear and Multilinear Algebra
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Acta Scientiarum Mathematicarum
1 Advances in Mathematics
1 Inventiones Mathematicae
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Mathematika
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Tamkang Journal of Mathematics
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Acta Mathematicae Applicatae Sinica. English Series
1 Optimization
1 Probability Theory and Related Fields
1 Communications in Partial Differential Equations
1 Filomat
1 Selecta Mathematica. New Series
1 Izvestiya: Mathematics
1 Fractional Calculus & Applied Analysis
1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
1 Communications of the Korean Mathematical Society
1 Journal of High Energy Physics
1 Discrete and Continuous Dynamical Systems. Series B
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Computational Methods and Function Theory
1 Central European Journal of Mathematics
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Chebyshevskiĭ Sbornik
1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika
1 Journal of Applied Analysis and Computation
1 Carpathian Mathematical Publications
1 Journal of Function Spaces
1 Chinese Journal of Mathematics
1 Journal de l’École Polytechnique – Mathématiques
1 Séminaire Laurent Schwartz. EDP et Applications
1 Journal of Nonlinear and Variational Analysis
1 Pure and Applied Analysis
all top 5

Cited in 27 Fields

266 Ordinary differential equations (34-XX)
121 Operator theory (47-XX)
40 Partial differential equations (35-XX)
27 Quantum theory (81-XX)
15 Functional analysis (46-XX)
12 Integral equations (45-XX)
9 Numerical analysis (65-XX)
7 Dynamical systems and ergodic theory (37-XX)
5 Special functions (33-XX)
5 Probability theory and stochastic processes (60-XX)
5 Mechanics of deformable solids (74-XX)
4 Combinatorics (05-XX)
4 Real functions (26-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Fluid mechanics (76-XX)
1 History and biography (01-XX)
1 Number theory (11-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Computer science (68-XX)
1 Optics, electromagnetic theory (78-XX)
1 Relativity and gravitational theory (83-XX)
1 Systems theory; control (93-XX)

Citations by Year