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Publications in Math-Net.Ru |
Citations |
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2022 |
1. |
M. Al-Mohamed, I. V. Tikhonov, “Examples of generalized elementary solutions in linear inverse problems”, Chelyab. Fiz.-Mat. Zh., 7:4 (2022), 395–411 |
2. |
I. V. Okorochkov, I. V. Tikhonov, V. B. Sherstyukov, “On the connection of Bernstein and Kantorovich polynomials for a symmetric module function”, Vladikavkaz. Mat. Zh., 24:1 (2022), 87–99 |
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2020 |
3. |
I. V. Tikhonov, V. B. Sherstyukov, D. G. Tsvetkovich, “Comparative analysis of two-sided estimates of the central binomial coefficient”, Chelyab. Fiz.-Mat. Zh., 5:1 (2020), 70–95 |
2
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2019 |
4. |
I. V. Tikhonov, V. B. Sherstyukov, D. G. Tsvetkovich, “Generalized Popoviciu expansions for Bernstein polynomials of a rational module”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 170 (2019), 71–117 |
5. |
M. A. Petrosova, I. V. Tikhonov, V. B. Sherstyukov, “Algebraic representation for Bernstein polynomials on the symmetric interval and combinatorial relations”, Vladikavkaz. Mat. Zh., 21:3 (2019), 68–86 |
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2018 |
6. |
M. A. Petrosova, I. V. Tikhonov, V. B. Sherstyukov, “On growth rate of coefficients in Bernstein polynomials for the standard modulus function on a symmetric interval”, Ufimsk. Mat. Zh., 10:3 (2018), 60–78 ; Ufa Math. J., 10:3 (2018), 59–76 |
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2017 |
7. |
A. V. Karev, I. V. Tikhonov, “Zeros distribution of a Mittag-Leffler type entire function with applications to the theory of inverse problems”, Chelyab. Fiz.-Mat. Zh., 2:4 (2017), 430–446 |
8. |
I. V. Tikhonov, V. N. Son Tung, “Formulas for an explicit solution of the model nonlocal problem associated with the ordinary transport equation”, Mathematical notes of NEFU, 24:1 (2017), 57–73 |
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2016 |
9. |
I. V. Tikhonov, Yu. V. Gavris, T. Z. Adzhieva, “Structure of solutions for model inverse problem for the heat equation in classes of exponential growth functions”, Chelyab. Fiz.-Mat. Zh., 1:3 (2016), 37–62 |
10. |
I. V. Tikhonov, D. G. Tsvetkovich, V. B. Sherstyukov, “Computer analysis of the attractors of zeros for classical Bernstein polynomials”, Fundam. Prikl. Mat., 21:4 (2016), 151–174 ; J. Math. Sci., 245:2 (2020), 217–233 |
3
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11. |
I. V. Tikhonov, V. B. Sherstyukov, M. A. Petrosova, “Bernstein polynomials for a standard module function on the symmetric interval”, Izv. Saratov Univ. Math. Mech. Inform., 16:4 (2016), 425–435 |
3
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2015 |
12. |
I. V. Tikhonov, V. B. Sherstyukov, M. A. Petrosova, “Gluing rule for Bernstein polynomials on the symmetric interval”, Izv. Saratov Univ. Math. Mech. Inform., 15:3 (2015), 288–300 |
6
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13. |
A. M. Smirnov, I. V. Tikhonov, V. N. Mantsevich, V. S. Dneprovskii, “Two-dimensional dynamic photonic crystal creation by means of three non-coplanar laser beams interference in colloidal CdSe/ZnS quantum dots solution”, Pis'ma v Zh. Èksper. Teoret. Fiz., 102:4 (2015), 240–244 ; JETP Letters, 102:4 (2015), 212–216 |
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2012 |
14. |
I. V. Tikhonov, V. B. Sherstyukov, “The module function approximation by Bernstein polynomials”, Vestnik Chelyabinsk. Gos. Univ., 2012, no. 15, 6–40 |
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2010 |
15. |
Yu. I. Bogdanov, S. P. Kulik, E. V. Moreva, I. V. Tikhonov, A. K. Gavrichenko, “Optimization of a quantum tomography protocol for polarization qubits”, Pis'ma v Zh. Èksper. Teoret. Fiz., 91:12 (2010), 755–761 ; JETP Letters, 91:12 (2010), 686–692 |
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2005 |
16. |
I. V. Tikhonov, “A Generalized Ward Problem for Abstract Differential Equations”, Differ. Uravn., 41:3 (2005), 325–336 ; Differ. Equ., 41:3 (2005), 340–351 |
4
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17. |
I. V. Tikhonov, Yu. S. Èidel'man, “Uniqueness criterion in an inverse problem for an abstract differential equation with nonstationary inhomogeneous term”, Mat. Zametki, 77:2 (2005), 273–290 ; Math. Notes, 77:2 (2005), 246–262 |
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18. |
A. Yu. Popov, I. V. Tikhonov, “Exponential solubility classes in a problem for the heat equation with a non-local condition for the time averages”, Mat. Sb., 196:9 (2005), 71–102 ; Sb. Math., 196:9 (2005), 1319–1348 |
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2004 |
19. |
A. Yu. Popov, I. V. Tikhonov, “Uniqueness Classes in a Time-Nonlocal Problem for the Heat Equation and Complex Eigenfunctions of the Laplace Operator”, Differ. Uravn., 40:3 (2004), 396–405 ; Differ. Equ., 40:3 (2004), 428–437 |
6
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20. |
I. V. Tikhonov, “Abstract Differential Null-Equations”, Funktsional. Anal. i Prilozhen., 38:2 (2004), 65–70 ; Funct. Anal. Appl., 38:2 (2004), 133–137 |
2
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2003 |
21. |
I. V. Tikhonov, “Uniqueness theorems for linear non-local problems for abstract differential equations”, Izv. RAN. Ser. Mat., 67:2 (2003), 133–166 ; Izv. Math., 67:2 (2003), 333–363 |
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2002 |
22. |
I. V. Tikhonov, Yu. S. Èidel'man, “An Inverse Problem for a Differential Equation in a Banach Space and the Distribution of Zeros of an Entire Mittag-Leffler Function”, Differ. Uravn., 38:5 (2002), 637–644 ; Differ. Equ., 38:5 (2002), 669–677 |
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2000 |
23. |
I. V. Tikhonov, Yu. S. Èidel'man, “The unique solvability of a two-point inverse problem for an abstract differential equation with an unknown parameter”, Differ. Uravn., 36:8 (2000), 1132–1133 ; Differ. Equ., 36:8 (2000), 1256–1258 |
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1998 |
24. |
I. V. Tikhonov, “On the solvability of a problem with a nonlocal integral condition for a differential equation in a Banach space”, Differ. Uravn., 34:6 (1998), 841–843 ; Differ. Equ., 34:6 (1998), 841–844 |
12
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25. |
I. V. Tikhonov, “On the solvability of linear inverse problem with final overdetermination in a Banach space of $L^1$-type”, Fundam. Prikl. Mat., 4:2 (1998), 691–708 |
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1994 |
26. |
A. I. Prilepko, I. V. Tikhonov, “Reconstruction of the nonhomogeneous term in an abstract evolution equation”, Izv. RAN. Ser. Mat., 58:2 (1994), 167–188 ; Russian Acad. Sci. Izv. Math., 44:2 (1995), 373–394 |
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27. |
I. V. Tikhonov, Yu. S. Èidel'man, “Problems on correctness of ordinary and inverse problems for evolutionary equations of a special form”, Mat. Zametki, 56:2 (1994), 99–113 ; Math. Notes, 56:2 (1994), 830–839 |
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1993 |
28. |
A. I. Prilepko, I. V. Tikhonov, “An Inverse Problem with Final Time Additional Condition for an Abstract Evolution Equation in an Ordered Banach Space”, Funktsional. Anal. i Prilozhen., 27:1 (1993), 81–83 ; Funct. Anal. Appl., 27:1 (1993), 68–70 |
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1992 |
29. |
A. I. Prilepko, I. V. Tikhonov, “Uniqueness of a solution of the inverse problem for the evolution equation and application to the transport equation”, Mat. Zametki, 51:2 (1992), 77–87 ; Math. Notes, 51:2 (1992), 158–165 |
10
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30. |
I. V. Tikhonov, “On the connection between inverse problems with final and integral overdetermination”, Uspekhi Mat. Nauk, 47:4(286) (1992), 211–212 ; Russian Math. Surveys, 47:4 (1992), 232–233 |
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Presentations in Math-Net.Ru |
1. |
Об одном свойстве коэффициентов полиномов Бернштейна для степенных функций на симметричном отрезке M. A. Petrosova, I. V. Tikhonov, V. B. Sherstyukov
March 26, 2024 17:30
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2. |
Примеры экспоненциальной сходимости полиномов Бернштейна к своей порождающей функции V. B. Sherstyukov, I. V. Tikhonov
XXII International Saratov Winter School
"Contemporary Problems of Function Theory and Their Applications",
dedicated to the 300th anniversary of the Russian Academy of Sciences January 30, 2024 15:30
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3. |
О явных аналитических формулах в нелокальной задаче теплопроводности Е. Д. Писаренкова, I. V. Tikhonov
XXII International Saratov Winter School
"Contemporary Problems of Function Theory and Their Applications",
dedicated to the 300th anniversary of the Russian Academy of Sciences January 29, 2024 17:20
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4. |
Аналитические задачи в математической физике I. V. Tikhonov
April 11, 2023 17:30
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5. |
Специальные случаи в одной общей обратной задаче для абстрактных дифференциальных уравнений M. Al-Mohamed, I. V. Tikhonov
December 6, 2022 17:30
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6. |
Из теории полиномов Бернштейна I. V. Tikhonov, V. B. Sherstyukov
November 10, 2022 15:35
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7. |
Общие результаты о единственности решения в линейных обратных задачах для дифференциальных уравнений в банаховых пространствах I. V. Tikhonov, M. Al-Mohamed
Scientific seminar on the differential and functional differential equations March 23, 2021 12:20
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8. |
Комбинаторные структуры, связанные с явной записью полиномов Бернштейна на симметричном отрезке I. V. Tikhonov, V. B. Sherstyukov, M. A. Petrosova
November 26, 2019 17:30
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9. |
Приближение модуля многочленами Бернштейна: новые продвижения I. V. Tikhonov, V. B. Sherstyukov
Seminar on Approximation Theory November 14, 2019 10:30
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10. |
Проблема спектрального синтеза в обратных задачах для эволюционных уравнений. Продолжение I. V. Tikhonov
December 4, 2018 17:30
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11. |
Проблема спектрального синтеза в обратных задачах для эволюционных уравнений I. V. Tikhonov
November 27, 2018 17:30
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12. |
О некоторых свойствах полиномов Бернулли в связи с неклассическими задачами для эволюционных уравнений I. V. Tikhonov
September 25, 2018 17:30
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13. |
Нелокальная задача для эволюционного уравнения с суперустойчивой полугруппой I. V. Tikhonov
April 24, 2018 17:55
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14. |
Полный анализ сходимости многочленов Бернштейна для симметричного модуля (второе сообщение) I. V. Tikhonov, V. B. Sherstyukov
Seminar on Approximation Theory November 30, 2017 10:30
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15. |
Законы распределения нулей для классических полиномов Бернштейна I. V. Tikhonov, V. B. Sherstyukov, D. G. Tsvetkovich
November 21, 2017 17:55
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16. |
Полный анализ сходимости многочленов Бернштейна для симметричного модуля I. V. Tikhonov, V. B. Sherstyukov
Seminar on Approximation Theory March 16, 2017 10:30
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17. |
Общие формулы, связанные с |x| на [-1,1] I. V. Tikhonov
April 19, 2016 17:30
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18. |
Явные представления специальных решений в задачах математической физики I. V. Tikhonov
March 29, 2016 17:30
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19. |
О некоторых результатах из теории полиномов Бернштейна I. V. Tikhonov
Seminar on Approximation Theory December 10, 2015 10:30
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20. |
Уточнение оценок скорости роста коэффициентов многочленов Бернштейна I. V. Tikhonov, V. B. Sherstyukov
Seminar on Approximation Theory September 17, 2015 10:30
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21. |
Новые результаты из теории полиномов Бернштейна I. V. Tikhonov, V. B. Sherstyukov
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii May 29, 2015 17:55
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22. |
Уточнение оценок скорости роста коэффициентов многочленов Бернштейна I. V. Tikhonov, V. B. Sherstyukov
Seminar on Approximation Theory April 2, 2015 10:30
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23. |
Проблема коэффициентов при явной алгебраической записи полиномов Бернштейна (продолжение) I. V. Tikhonov, V. B. Sherstyukov
March 10, 2015 17:30
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24. |
Проблема коэффициентов при явной алгебраической записи полиномов Бернштейна I. V. Tikhonov, V. B. Sherstyukov
March 3, 2015 17:30
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25. |
“Взрывные” решения в прямых и обратных задачах для линейных эволюционных уравнений I. V. Tikhonov
November 11, 2014 17:30
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26. |
Приближение многочленами Бернштейна в классе функций с заданным модулем непрерывности I. V. Tikhonov, V. B. Sherstyukov
Seminar on Approximation Theory September 18, 2014 10:30
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27. |
Проблемы явной записи полиномов Бернштейна I. V. Tikhonov, V. B. Sherstyukov
Seminar on Approximation Theory March 6, 2014 10:30
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28. |
Полиномы Бернштейна для кусочно-линейных функций I. V. Tikhonov, V. B. Sherstyukov
Seminar on Approximation Theory April 18, 2013 10:30
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29. |
Приближение модуля полиномами Бернштейна I. V. Tikhonov, V. B. Sherstyukov
Seminar on Approximation Theory October 25, 2012 10:30
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