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Found 108 Documents (Results 1–100)

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Savchuk, A. M.; Sadovnichaya, I. V.

Operator group generated by a one-dimensional Dirac system. (English. Russian original) Zbl 07820600

Dokl. Math. 108, No. 3, 490-492 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 514, No. 1, 79-81 (2023).
MSC:  47-XX 34Lxx 47Exx 47Bxx
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\textit{A. M. Savchuk} and \textit{I. V. Sadovnichaya}, Dokl. Math. 108, No. 3, 490--492 (2023; Zbl 07820600); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 514, No. 1, 79--81 (2023)
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Savchuk, Oleg; Stonyakin, Fedor; Alkousa, Mohammad; Zabirova, Rida; Titov, Alexander; Gasnikov, Alexander

Online Optimization Problems with Functional Constraints under Relative Lipschitz Continuity and Relative Strong Convexity Conditions. arXiv:2303.02746

Preprint, arXiv:2303.02746 [math.OC] (2023).
BibTeX Cite
\textit{O. Savchuk} et al., ``Online Optimization Problems with Functional Constraints under Relative Lipschitz Continuity and Relative Strong Convexity Conditions'', Preprint, arXiv:2303.02746 [math.OC] (2023)
Full Text: arXiv
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Savchuk, A. M.; Sadovnichaya, I. V.

Uniform basis property of root vector systems of Dirac operators. (English. Russian original) Zbl 1503.34159

J. Math. Sci., New York 260, No. 4, 570-582 (2022); translation from Sovrem. Mat., Fundam. Napravl. 64, No. 1, 180-193 (2018).
Reviewer: A. S. Makin (Moskva)
MSC:  34L40 34L10
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\textit{A. M. Savchuk} and \textit{I. V. Sadovnichaya}, J. Math. Sci., New York 260, No. 4, 570--582 (2022; Zbl 1503.34159); translation from Sovrem. Mat., Fundam. Napravl. 64, No. 1, 180--193 (2018)
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Savchuk, A. M.

The Calderon-Zygmund operator and its relation to asymptotic estimates of ordinary differential operators. (English. Russian original) Zbl 1481.42018

J. Math. Sci., New York 259, No. 6, 908-921 (2021); translation from Sovrem. Mat., Fundam. Napravl. 63, No. 4, 689-702 (2017).
MSC:  42B20 34A30
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\textit{A. M. Savchuk}, J. Math. Sci., New York 259, No. 6, 908--921 (2021; Zbl 1481.42018); translation from Sovrem. Mat., Fundam. Napravl. 63, No. 4, 689--702 (2017)
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Savchuk, A. M.; Sadovnichaya, I. V.

Equiconvergence of spectral decompositions for Sturm-Liouville operators with a distributional potential in scales of spaces. (English. Russian original) Zbl 1486.34169

Dokl. Math. 103, No. 1, 47-49 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 56-58 (2021).
Reviewer: Hubert Kalf (München)
MSC:  34L40 34B24
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\textit{A. M. Savchuk} and \textit{I. V. Sadovnichaya}, Dokl. Math. 103, No. 1, 47--49 (2021; Zbl 1486.34169); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 496, 56--58 (2021)
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Jonoska, Nataša (ed.); Savchuk, Dmytro (ed.)

Developments in language theory. 24th international conference, DLT 2020, Tampa, FL, USA, May 11–15, 2020. Proceedings. (English) Zbl 1496.68024

Lecture Notes in Computer Science 12086. Cham: Springer (ISBN 978-3-030-48515-3/pbk; 978-3-030-48516-0/ebook). x, 333 p. (2020).
MSC:  68-06 68Q45 00B25
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\textit{N. Jonoska} (ed.) and \textit{D. Savchuk} (ed.), Developments in language theory. 24th international conference, DLT 2020, Tampa, FL, USA, May 11--15, 2020. Proceedings. Cham: Springer (2020; Zbl 1496.68024)
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Savchuk, Artëm M.; Shkalikov, Andreĭ A.

Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients. (English. Russian original) Zbl 1477.34032

Sb. Math. 211, No. 11, 1623-1659 (2020); translation from Mat. Sb. 211, No. 11, 129-166 (2020).
Reviewer: Maria Belozerova (Odessa)
MSC:  34A30 34A05 34E05 34B09
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\textit{A. M. Savchuk} and \textit{A. A. Shkalikov}, Sb. Math. 211, No. 11, 1623--1659 (2020; Zbl 1477.34032); translation from Mat. Sb. 211, No. 11, 129--166 (2020)
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Savchuk, A. M.; Sadovnichaya, I. V.

On the existence of an operator group generated by the one-dimensional Dirac system. (English. Russian original) Zbl 1443.47045

Trans. Mosc. Math. Soc. 2019, 235-250 (2019); translation from Tr. Mosk. Mat. O.-va 80, No. 2, 275-294 (2019).
MSC:  47D03 34L40
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\textit{A. M. Savchuk} and \textit{I. V. Sadovnichaya}, Trans. Mosc. Math. Soc. 2019, 235--250 (2019; Zbl 1443.47045); translation from Tr. Mosk. Mat. O.-va 80, No. 2, 275--294 (2019)
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Savchuk, A. M.; Sadovnichaya, I. V.

The Riesz basis property with brackets for Dirac systems with summable potentials. (English. Russian original) Zbl 1409.34073

J. Math. Sci., New York 233, No. 4, 514-540 (2018); translation from Sovrem. Mat., Fundam. Napravl. 58, No. 1, 128-152 (2015).
Reviewer: Bilender P. Allahverdiev (Isparta)
MSC:  34L10 34L40 34L20 34L15
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\textit{A. M. Savchuk} and \textit{I. V. Sadovnichaya}, J. Math. Sci., New York 233, No. 4, 514--540 (2018; Zbl 1409.34073); translation from Sovrem. Mat., Fundam. Napravl. 58, No. 1, 128--152 (2015)
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Savchuk, Artem M.

On the basis property of the system of eigenfunctions and associated functions of a one-dimensional Dirac operator. (English. Russian original) Zbl 1416.34075

Izv. Math. 82, No. 2, 351-376 (2018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 2, 113-139 (2018).
Reviewer: Xueyan Liu (New Orleans)
MSC:  34L10 34L40 47E05
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\textit{A. M. Savchuk}, Izv. Math. 82, No. 2, 351--376 (2018; Zbl 1416.34075); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 2, 113--139 (2018)
Full Text: DOI
Savchuk, Artem M.; Shkalikov, A. A.

Spectral properties of the complex Airy operator on the half-line. (English. Russian original) Zbl 1372.34131

Funct. Anal. Appl. 51, No. 1, 66-79 (2017); translation from Funkts. Anal. Prilozh. 51, No. 1, 82-98 (2017).
Reviewer: Andreas Fleige (Dortmund)
MSC:  34L10 34L40 34B40 34L15
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\textit{A. M. Savchuk} and \textit{A. A. Shkalikov}, Funct. Anal. Appl. 51, No. 1, 66--79 (2017; Zbl 1372.34131); translation from Funkts. Anal. Prilozh. 51, No. 1, 82--98 (2017)
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Savchuk, Artem; Shkalikov, Andrei

Asymptotic formulas for fundamental system of solutions of high order ordinary differential equations with coefficients – distributions. arXiv:1704.02736

Preprint, arXiv:1704.02736 [math.SP] (2017).
MSC:  34L40
BibTeX Cite
\textit{A. Savchuk} and \textit{A. Shkalikov}, ``Asymptotic formulas for fundamental system of solutions of high order ordinary differential equations with coefficients -- distributions'', Preprint, arXiv:1704.02736 [math.SP] (2017)
Full Text: arXiv
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Yasinskyy, V. K.; Savchuk, B. W.; Kozyr, S. M.

Optimal control in diffusion stochastic nonlinear functional-differential ITO equations with Markov parameters and external Markov switching. (English. Russian original) Zbl 1348.93284

Cybern. Syst. Anal. 52, No. 3, 441-450 (2016); translation from Kibern. Sist. Anal. 2016, No. 3, 122-133 (2016).
MSC:  93E20 60H10 60J75
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\textit{V. K. Yasinskyy} et al., Cybern. Syst. Anal. 52, No. 3, 441--450 (2016; Zbl 1348.93284); translation from Kibern. Sist. Anal. 2016, No. 3, 122--133 (2016)
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Klimann, Ines; Picantin, Matthieu; Savchuk, Dmytro

A connected 3-state reversible Mealy automaton cannot generate an infinite Burnside group. (English) Zbl 1386.68106

Potapov, Igor (ed.), Developments in language theory. 19th international conference, DLT 2015, Liverpool, UK, July 27–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-21499-3/pbk; 978-3-319-21500-6/ebook). Lecture Notes in Computer Science 9168, 313-325 (2015).
MSC:  68Q70 20F10 20F50
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\textit{I. Klimann} et al., Lect. Notes Comput. Sci. 9168, 313--325 (2015; Zbl 1386.68106)
Full Text: DOI arXiv
Savchuk, A. M.; Sadovnichaya, I. V.

The Riesz basis property of generalized eigenspaces for a Dirac system with integrable potential. (English) Zbl 1478.34097

Dokl. Math. 91, No. 3, 309-312 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 3, 274-277 (2015).
MSC:  34L40 34L10 46E30
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\textit{A. M. Savchuk} and \textit{I. V. Sadovnichaya}, Dokl. Math. 91, No. 3, 309--312 (2015; Zbl 1478.34097); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 3, 274--277 (2015)
Full Text: DOI
Savchuk, A. M.; Shkalikov, A. A.

Recovering a potential of the Sturm-Liouville problem from finite sets of spectral data. (English) Zbl 1327.34031

Khruslov, E. (ed.) et al., Spectral theory and differential equations: V. A. Marchenko’s 90th anniversary collection. Providence, RI: American Mathematical Society (AMS); (ISBN 978-1-4704-1683-6/hbk). Translations. Series 2. American Mathematical Society 233; Advances in the Mathematical Sciences 66, 211-224 (2014).
Reviewer: Vjacheslav Yurko (Saratov)
MSC:  34A55 34B24 47E05 34L15
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\textit{A. M. Savchuk} and \textit{A. A. Shkalikov}, Transl., Ser. 2, Am. Math. Soc. 233, 211--224 (2014; Zbl 1327.34031)
Grigorchuk, Rostislav; Savchuk, Dmytro

Self-similar groups acting essentially freely on the boundary of the binary rooted tree. (English) Zbl 1308.20025

Morse, Robert Fitzgerald (ed.) et al., Group theory, combinatorics, and computing. Proceedings of the international conference in honor of Daniela Nikolova-Popova’s 60th birthday on group theory, combinatorics and computing, Boca Raton, FL, USA, October 3–8, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9435-4/pbk; 978-1-4704-1524-2/ebook). Contemporary Mathematics 611, 9-48 (2014).
MSC:  20E08 20F05 20F65 68Q70
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\textit{R. Grigorchuk} and \textit{D. Savchuk}, Contemp. Math. 611, 9--48 (2014; Zbl 1308.20025)
Full Text: arXiv
Savchuk, A. M.; Shkalikov, A. A.

Uniform stability of the inverse Sturm-Liouville problem with respect to the spectral function in the scale of Sobolev spaces. (English. Russian original) Zbl 1292.34014

Proc. Steklov Inst. Math. 283, 181-196 (2013); translation from Tr. Mat. Inst. Steklova 283, 188-203 (2013).
Reviewer: Vjacheslav Yurko (Saratov)
MSC:  34A55 34B24 47E05
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\textit{A. M. Savchuk} and \textit{A. A. Shkalikov}, Proc. Steklov Inst. Math. 283, 181--196 (2013; Zbl 1292.34014); translation from Tr. Mat. Inst. Steklova 283, 188--203 (2013)
Full Text: DOI
Savchuk, A. M.; Sadovnichaya, I. V.

Asymptotic formulas for fundamental solutions of the Dirac system with complex-valued integrable potential. (English. Russian original) Zbl 1283.34078

Differ. Equ. 49, No. 5, 545-556 (2013); translation from Differ. Uravn. 49, No. 5, 573-584 (2013).
Reviewer: Mihai Pascu (Bucureşti)
MSC:  34L40 34L10 34D05
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\textit{A. M. Savchuk} and \textit{I. V. Sadovnichaya}, Differ. Equ. 49, No. 5, 545--556 (2013; Zbl 1283.34078); translation from Differ. Uravn. 49, No. 5, 573--584 (2013)
Full Text: DOI
Savchuk, A. M.; Shkalikov, A. A.

Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability. (English. Russian original) Zbl 1271.34017

Funct. Anal. Appl. 44, No. 4, 270-285 (2010); translation from Funkts. Anal. Prilozh. 44, No. 4, 34-53 (2010).
MSC:  34A55 34B24 47E05
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\textit{A. M. Savchuk} and \textit{A. A. Shkalikov}, Funct. Anal. Appl. 44, No. 4, 270--285 (2010; Zbl 1271.34017); translation from Funkts. Anal. Prilozh. 44, No. 4, 34--53 (2010)
Full Text: DOI arXiv
Savchuk, Dmytro

Some graphs related to Thompson’s group \(F\). (English) Zbl 1201.20039

Bogopolski, Oleg (ed.) et al., Combinatorial and geometric group theory. Dortmund and Ottawa-Montreal conferences. Selected papers of the conferences on “Combinatorial and geometric group theory with applications” (GAGTA), Dortmund, Germany, August 27–31, 2007, “Fields workshop in asymptotic group theory and cryptography”, Ottawa, Canada, December 14–16, 2007, and the workshop on “Action on trees, non-Archimedian words, and asymptotic cones”, Montreal, Canada, December 17–21, 2007. Basel: Birkhäuser (ISBN 978-3-7643-9910-8/hbk; 978-1-4419-5945-4/ebook). Trends in Mathematics, 279-296 (2010).
MSC:  20F65 05C25 20F05 37E05 43A07
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\textit{D. Savchuk}, in: Combinatorial and geometric group theory. Dortmund and Ottawa-Montreal conferences. Selected papers of the conferences on ``Combinatorial and geometric group theory with applications'' (GAGTA), Dortmund, Germany, August 27--31, 2007, ``Fields workshop in asymptotic group theory and cryptography'', Ottawa, Canada, December 14--16, 2007, and the workshop on ``Action on trees, non-Archimedian words, and asymptotic cones'', Montreal, Canada, December 17--21, 2007. Basel: Birkhäuser. 279--296 (2010; Zbl 1201.20039)
Full Text: arXiv
Savchuk, A. M.; Shkalikov, A. A.

Properties of the map associated with recovering of the Sturm-Liouville operator by its spectral function. Uniform stability in the scale of Sobolev spaces. arXiv:1010.5344

Preprint, arXiv:1010.5344 [math.SP] (2010).
MSC:  34L40
BibTeX Cite
\textit{A. M. Savchuk} and \textit{A. A. Shkalikov}, ``Properties of the map associated with recovering of the Sturm-Liouville operator by its spectral function. Uniform stability in the scale of Sobolev spaces'', Preprint, arXiv:1010.5344 [math.SP] (2010)
Full Text: arXiv
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Bondarenko, I.; Grigorchuk, R.; Kravchenko, R.; Muntyan, Y.; Nekrashevych, V.; Savchuk, D.; Šunić, Z.

Groups generated by 3-state automata over a 2-letter alphabet. II. (English. Russian original) Zbl 1185.20029

J. Math. Sci., New York 156, No. 1, 187-208 (2009); translation from Sovrem. Mat. Prilozh. 50 (2007).
MSC:  20E08 68Q45 68Q70 20F05 20F10
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\textit{I. Bondarenko} et al., J. Math. Sci., New York 156, No. 1, 187--208 (2009; Zbl 1185.20029); translation from Sovrem. Mat. Prilozh. 50 (2007)
Full Text: DOI arXiv
Savchuk, A. M.; Shkalikov, A. A.

On the properties of maps connected with inverse Sturm-Liouville problems. (English. Russian original) Zbl 1233.34010

Proc. Steklov Inst. Math. 260, 218-237 (2008); translation from Tr. Mat. Inst. Steklova 260, 227-247 (2008).
MSC:  34B24 34A55 47E05 47J05
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\textit{A. M. Savchuk} and \textit{A. A. Shkalikov}, Proc. Steklov Inst. Math. 260, 218--237 (2008; Zbl 1233.34010); translation from Tr. Mat. Inst. Steklova 260, 227--247 (2008)
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Grigorchuk, Rostislav; Savchuk, Dmytro; Šunić, Zoran

The spectral problem, substitutions and iterated monodromy. (English) Zbl 1138.20025

Dawson, Donald A. (ed.) et al., Probability and mathematical physics. A volume in honor of Stanislav Molchanov. Proceedings of a conference in honor of Stanislav Molchanov’s 65th birthday, Montreal, Canada, June 27–July 1, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4089-4/pbk). CRM Proceedings and Lecture Notes 42, 225-248 (2007).
MSC:  20E08 37F10 60B15
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\textit{R. Grigorchuk} et al., in: Probability and mathematical physics. A volume in honor of Stanislav Molchanov. Proceedings of a conference in honor of Stanislav Molchanov's 65th birthday, Montreal, Canada, June 27--July 1, 2005. Providence, RI: American Mathematical Society (AMS). 225--248 (2007; Zbl 1138.20025)
Full Text: arXiv
Bondarenko, Ye. V.; Grygorchuk, R. I.; Kravchenko, R. V.; Muntyan, Ye. V.; Nekrashevych, V. V.; Savchuk, D. M.; Shunych, Z.

On classification of groups generated by automaton with three states over alphabet of two letters, and on some questions concerned with such groups. (Ukrainian. English summary) Zbl 1134.20031

Nauk. Visn. Chernivets’kogo Univ., Mat. 336-337, 29-39 (2007).
MSC:  20F05 20E34 20E08 68Q70
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\textit{Ye. V. Bondarenko} et al., Nauk. Visn. Chernivets'kogo Univ., Mat. 336--337, 29--39 (2007; Zbl 1134.20031)
Savchuk, V. V.; Savchuk, M. V.

Norms of multipliers in spaces of harmonic multivariable functions. (Ukrainian) Zbl 1101.30041

Stepanets’, O. I. (ed.), Extremum problems in the theory of functions and related questions. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2940-2). Pratsi Instytutu Matematyky Natsional’noïAkademiïNauk Ukraïny. Matematyka ta ïïZastosuvannya 46, 219-228 (2003).
MSC:  30E10
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\textit{V. V. Savchuk} and \textit{M. V. Savchuk}, in: Ekstremal'ni zadachi teoriï\ funktsij ta sumizhni pytannya. Kyïv: Instytut Matematyky NAN Ukraïny. 219--228 (2003; Zbl 1101.30041)
Savchuk, M. V.

On the interrelation between the total and partial best approximations for bounded holomorphic functions of many variables. (Ukrainian) Zbl 1101.30039

Stepanets’, O.I. (ed.), Theory of the approximation of functions and related problems. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2617-9). Pratsi Instytutu Matematyky Natsional’noï Akademiï Nauk Ukraïny. Matematyka ta {ïï} Zastosuvannya 35, 164-171 (2002).
MSC:  30E10
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\textit{M. V. Savchuk}, in: Теория наблыження функций та сумижни пытання. Kyïv: Instytut Matematyky NAN Ukraïny. 164--171 (2002; Zbl 1101.30039)
Neiman-zade, M. I.; Savchuk, A. M.

Schrödinger operators with singular potentials. (English. Russian original) Zbl 1020.34081

Proc. Steklov Inst. Math. 236, 250-259 (2002); translation from Tr. Mat. Inst. Steklova 236, 262-271 (2002).
MSC:  34L40
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\textit{M. I. Neiman-zade} and \textit{A. M. Savchuk}, in: Differential equations and dynamical systems. Collected papers dedicated to the 80th birthday of Academician Evgenii Frolovich Mishchenko. Transl. from the Russian. Moscow: Maik Nauka/Interperiodika. 250--259 (2002; Zbl 1020.34081); translation from Tr. Mat. Inst. Steklova 236, 262--271 (2002)
Savchuk, A. M.; Shakalikov, A. A.

Trace formula for Sturm-Liouville operators with singular potentials. (English. Russian original) Zbl 1005.34077

Math. Notes 69, No. 3, 387-400 (2001); translation from Mat. Zametki 69, No. 3, 427-442 (2001).
Reviewer: Manfred Möller (Johannesburg)
MSC:  34L20 34B24
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\textit{A. M. Savchuk} and \textit{A. A. Shakalikov}, Math. Notes 69, No. 3, 387--400 (2001; Zbl 1005.34077); translation from Mat. Zametki 69, No. 3, 427--442 (2001)
Full Text: DOI
Savchuk, M. V.

The Lebesgue-Landau inequality for functions holomorphic in the polydisk \(D^N\), \(N\geq 1\). (Ukrainian. English summary) Zbl 1029.32500

Kovtunets, V. V. (ed.), Approximation theory and its applications. Proceedings of the international conference dedicated to the memory of Vladislav Kirillovich Dzyadyk held in Kiev, Ukraine, May 27-31, 1999. Kyïv: Instytut Matematyky NAN Ukraïny. Pr. Inst. Mat. Nats. Akad. Nauk Ukr., Mat. Zastos. 31, 407-416 (2000).
Reviewer: A.M.Gomilko (Kyïv)
MSC:  32A35 32A05 42B08
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\textit{M. V. Savchuk}, in: Teoriya nablyzhennya funktsij ta ïï zastosuvannya. Kyïv: Instytut Matematyky NAN Ukraïny. 407--416 (2000; Zbl 1029.32500)
Antonyuk, V. N.; Kochubinskij, A. I.; Savchuk, M. N.

Synthesis of multilayer interference coatings and optimization of their characteristics. (English. Russian original) Zbl 0980.78005

Cybern. Syst. Anal. 35, No. 2, 327-331 (1999); translation from Kibern. Sist. Anal. 1999, No. 2, 170-175 (1999).
MSC:  78A46 78M50
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\textit{V. N. Antonyuk} et al., Cybern. Syst. Anal. 35, No. 2, 327--331 (1999; Zbl 0980.78005); translation from Kibern. Sist. Anal. 1999, No. 2, 170--175 (1999)
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