Edit Profile (opens in new tab) Savchuk, Artem M. Co-Author Distance Author ID: savchuk.artem-m Published as: Savchuk, A. M.; Savchuk, Artem M.; Savchuk, Artëm M. more...less External Links: MGP Documents Indexed: 40 Publications since 1999, including 7 Additional arXiv Preprints Co-Authors: 7 Co-Authors with 28 Joint Publications 194 Co-Co-Authors all top 5 Co-Authors 12 single-authored 16 Shkalikov, Andreĭ Andreevich 9 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 Proceedings of the Steklov Institute of Mathematics 2 Functional Analysis and its Applications 2 Transactions of the Moscow Mathematical Society 2 Doklady Mathematics 1 Russian Mathematical Surveys 1 Russian Journal of Mathematical Physics 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Lobachevskii Journal of Mathematics Fields 37 Ordinary differential equations (34-XX) 12 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 27 Publications have been cited 512 times in 291 Documents Cited by ▼ Year ▼ Sturm-Liouville operators with singular potentials. Zbl 0968.34072 Savchuk, A. M.; Shkalikov, A. A. 132 1999 Sturm-Liouville operators with distribution potentials. Zbl 1066.34085 Savchuk, A. M.; Shkalikov, A. A. 85 2003 Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability. Zbl 1271.34017 Savchuk, A. M.; Shkalikov, A. A. 42 2010 The Dirac operator with complex-valued summable potential. Zbl 1320.34118 Savchuk, A. M.; Shkalikov, A. A. 41 2014 On the eigenvalues of the Sturm-Liouville operator with potentials from Sobolev spaces. Zbl 1129.34055 Savchuk, A. M.; Shkalikov, A. A. 33 2006 Inverse problem for Sturm-Liouville operators with distribution potentials: reconstruction from two spectra. Zbl 1396.34008 Savchuk, A. M.; Shkalikov, A. A. 23 2005 Trace formula for Sturm-Liouville operators with singular potentials. Zbl 1005.34077 Savchuk, A. M.; Shakalikov, A. A. 20 2001 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. 14 2000 Spectral properties of the complex Airy operator on the half-line. Zbl 1372.34131 Savchuk, Artem M.; Shkalikov, A. A. 14 2017 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 On the eigenvalues and eigenfunctions of the Sturm-Liouville operator with a singular potential. Zbl 0996.34023 Savchuk, A. M. 11 2001 Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients. Zbl 1477.34032 Savchuk, Artëm M.; Shkalikov, Andreĭ A. 11 2020 Recovering a potential of the Sturm-Liouville problem from finite sets of spectral data. Zbl 1327.34031 Savchuk, A. M.; Shkalikov, A. A. 10 2014 Asymptotic formulas for fundamental solutions of the Dirac system with complex-valued integrable potential. Zbl 1283.34078 Savchuk, A. M.; Sadovnichaya, I. V. 10 2013 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 Trace of order \((-1)\) for a string with singular weight. Zbl 1384.34027 Ivanov, A. S.; Savchuk, A. M. 5 2017 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 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 interpolation of analytic mappings. Zbl 1291.46020 Savchuk, A. M.; Shkalikov, A. A. 2 2013 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 Equiconvergence of spectral decompositions for Sturm-Liouville operators: triples of Lebesgue spaces. Zbl 1471.34052 Savchuk, A. M.; Sadovnichaya, I. V. 1 2021 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 with a distributional potential in scales of spaces. Zbl 1486.34169 Savchuk, A. M.; Sadovnichaya, I. V. 1 2021 Equiconvergence of spectral decompositions for Sturm-Liouville operators: triples of Lebesgue spaces. Zbl 1471.34052 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. 11 2020 Uniform estimates of remainders in spectral analysis of linear differential systems. Zbl 1422.34247 Savchuk, Artëm M. 1 2019 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 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. 14 2017 Trace of order \((-1)\) for a string with singular weight. Zbl 1384.34027 Ivanov, A. S.; Savchuk, A. M. 5 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 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. 41 2014 Recovering a potential of the Sturm-Liouville problem from finite sets of spectral data. Zbl 1327.34031 Savchuk, A. M.; Shkalikov, A. A. 10 2014 Asymptotic formulas for fundamental solutions of the Dirac system with complex-valued integrable potential. Zbl 1283.34078 Savchuk, A. M.; Sadovnichaya, I. V. 10 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. 2 2013 Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability. Zbl 1271.34017 Savchuk, A. M.; Shkalikov, A. A. 42 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. 33 2006 Inverse problem for Sturm-Liouville operators with distribution potentials: reconstruction from two spectra. Zbl 1396.34008 Savchuk, A. M.; Shkalikov, A. A. 23 2005 Sturm-Liouville operators with distribution potentials. Zbl 1066.34085 Savchuk, A. M.; Shkalikov, A. A. 85 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. 20 2001 On the eigenvalues and eigenfunctions of the Sturm-Liouville operator with a singular potential. Zbl 0996.34023 Savchuk, A. M. 11 2001 First-order regularised trace of the Sturm-Liouville operator with \(\delta\)-potential. Zbl 1015.34075 Savchuk, A. M. 14 2000 Sturm-Liouville operators with singular potentials. Zbl 0968.34072 Savchuk, A. M.; Shkalikov, A. A. 132 1999 all cited Publications top 5 cited Publications all top 5 Cited by 232 Authors 21 Savchuk, Artem M. 17 Shkalikov, Andreĭ Andreevich 11 Akhtyamov, Azamat Moukhtarovich 11 Sadovnichaya, Inna Viktorovna 10 Sultanaev, Yaudat Talgatovich 9 Buterin, Sergey Alexandrovich 9 Kostenko, Aleksey S. 9 Malamud, Mark M. 9 Mitrokhin, Sergeĭ Ivanovich 8 Bondarenko, Natalia P. 8 Kappeler, Thomas 8 Sadovnichiĭ, Viktor Antonovich 7 Kanguzhin, Baltabek Esmatovich 7 Mityagin, Boris Samuilovich 6 Bruk, Vladislav Moiseevich 6 Djakov, Plamen B. 6 Eckhardt, Jonathan 6 Hryniv, Rostyslav O. 6 Mirzoev, Karakhan Agakhan 6 Pechentsov, A. S. 6 Topalov, Peter J. 6 Yang, Chuanfu 5 Khanmamedov, Agil Khanmamed ogly 5 Ugurlu, Ekin 5 Zvereva, Margarita Borisovna 4 Burlutskaya, Marija Shaukatovna 4 Konechnaya, Natal’ya Nikolaevna 4 Kravchenko, Vladislav V. 4 Kritskov, Leonid V. 4 Lunyov, Anton A. 4 Teschl, Gerald 4 Uskova, Natal’ya Borisovna 4 Weikard, Rudi 3 Albeverio, Sergio A. 3 Aliev, Araz Rafig oglu 3 Baskakov, Anatoliĭ Grigor’evich 3 Đurić, Nebojša 3 Güldü, Yalçın 3 Ishkin, Khabir Kabirovich 3 Ivanov, Aleksandr S. 3 Kamenskiĭ, Mikhaĭl Igor’evich 3 Krishtal, Ilya Arkadievich 3 Mamedova, Afag F. 3 Molnar, Jan-Cornelius 3 Mykytyuk, Yaroslav V. 3 Nalzhupbayeva, Gulzat 3 Polyakov, Dmitriĭ Mikhaĭlovich 3 Shi, Guoliang 3 Torba, Sergii M. 3 Yan, Jun 2 Abbasova, Khatira E. 2 Amirov, Rauf Kh. 2 Avdonin, Sergeĭ Anatol’evich 2 Baev, Aleksandr Dmitrievich 2 Bairamov, Elgiz 2 Braeutigam, Irina N. 2 Ferzullazadeh, Abid G. 2 Gadyl’shin, Timur Rustemovich 2 Gal’kovskii, Egor D. 2 Ghatasheh, Ahmed 2 Guliyev, Namig Jamiyyat oglu 2 Huseynov, Hidayat Mahammad 2 Korotyaev, Evgeny L. 2 Kosarev, A. P. 2 Koyunbakan, Hikmet 2 Makin, Alexander S. 2 Mirzaev, Olim Èrkinovich 2 Mukminov, Farit Khamzaevich 2 Nazarov, Alexander I. 2 Nicolussi, Noema 2 Rybkin, Alexei 2 Rzepnicki, Łukasz 2 Schaad, Beat 2 Shabrov, Sergey Alexandrovich 2 Tokmagambetov, Niyaz Esenzholovich 2 Tulenov, Kanat Serikovich 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 1 Anan’eva, Aleksandra Yur’evna 1 Andrew, Alan L. 1 Aniyarov, Almir A. 1 Ao, Jijun 1 Arslantaş, Merve 1 Aslanova, Nigar Mahar 1 Batal, Ahmet 1 Behrndt, Jussi 1 Ben-Artzi, Jonathan 1 Biyarov, Bazarkan Nuroldinovich 1 Bloemendal, Alex 1 Borodinova, D. Yu. 1 Buksaeva, L. Z. 1 Cai, Jinming ...and 132 more Authors all top 5 Cited in 95 Serials 34 Differential Equations 31 Mathematical Notes 10 Journal of Differential Equations 10 Doklady Mathematics 9 Journal of Mathematical Analysis and Applications 8 Journal of Mathematical Physics 8 Journal of Functional Analysis 8 Journal of Mathematical Sciences (New York) 7 Russian Mathematics 6 Siberian Mathematical Journal 6 Transactions of the Moscow Mathematical Society 6 Ufimskiĭ Matematicheskiĭ Zhurnal 5 Ukrainian Mathematical Journal 5 Integral Equations and Operator Theory 5 Proceedings of the Steklov Institute of Mathematics 4 Mathematical Methods in the Applied Sciences 4 Moscow University Mathematics Bulletin 4 Results in Mathematics 4 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 4 Analysis and Mathematical Physics 3 Inverse Problems 3 Mathematische Nachrichten 3 Russian Journal of Mathematical Physics 3 Turkish Journal of Mathematics 3 Lobachevskii Journal of Mathematics 3 Inverse Problems and Imaging 3 Azerbaijan Journal of Mathematics 2 Letters in Mathematical Physics 2 Russian Mathematical Surveys 2 Theoretical and Mathematical Physics 2 Applied Mathematics and Computation 2 Functional Analysis and its Applications 2 Monatshefte für Mathematik 2 Proceedings of the American Mathematical Society 2 Quaestiones Mathematicae 2 Applied Mathematics Letters 2 Computational Mathematics and Mathematical Physics 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 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 2 Eurasian Mathematical Journal 2 Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva 2 Vestnik Rossiĭskikh Universitetov. Matematika 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 Theory of Probability and its Applications 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 St. Petersburg Mathematical Journal 1 Filomat 1 Selecta Mathematica. New Series 1 Izvestiya: Mathematics 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 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 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 1 Journal of Spectral Theory 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 26 Fields 235 Ordinary differential equations (34-XX) 107 Operator theory (47-XX) 35 Partial differential equations (35-XX) 20 Quantum theory (81-XX) 14 Functional analysis (46-XX) 10 Integral equations (45-XX) 8 Numerical analysis (65-XX) 7 Dynamical systems and ergodic theory (37-XX) 4 Mechanics of deformable solids (74-XX) 3 Combinatorics (05-XX) 3 Real functions (26-XX) 3 Special functions (33-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Probability theory and stochastic processes (60-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 Harmonic analysis on Euclidean spaces (42-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Citations by Year