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Sultanaev, Yaudat Talgatovich
Statistics Math-Net.Ru
Total publications: 39
Scientific articles: 38
Presentations: 2

Number of views:
This page:3499
Abstract pages:12419
Full texts:4557
References:1344
Professor
Doctor of physico-mathematical sciences (1991)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 19.07.1948
E-mail: , , ,
Keywords: spectral theory of operators; asymptotic methods in theory of differential equations; tauberian theorems.

Subject:

The problem of spectral asymptotics culculating of singular nonsemibounded differential operators is solved. The asymptotic formulas for fundamental system of ordinary differential equations are received in the degenerating case. A number of papers (with N. F. Valeev) were devoted to the investigating of spectral properties of differential operators with oscillating coefficients.

Biography

Graduated from Faculty of Mathematics and Physics of Bashkir State University in 1971. Ph.D. thesis was defended in 1974. D.Sci. thesis was defended in 1990. A list of my works contains more than 60 titles.
   
Main publications:
  • Sultanaev Ya. T. Ob indeksakh defekta i spektre odnomernykh singulyarnykh differentsialnykh operatorov v vyrozhdennom sluchae // DAN SSSR, 1985, t. 284, # 3, s. 551–555.
  • Sultanaev Ya. T. Asimptotika reshenii obyknovennykh differentsialnykh uravnenii v vyrozhdennom sluchae // Trudy seminara im. I. G. Petrovskogo, 1988, vyp. 13, s. 36–55.
  • Sadovnichii V. A., Sultanaev Ya. T., Akhtyamov A. M. Analogi teoremy edinstvennosti Borga v sluchae neraspadayuschikhsya kraevykh uslovii // Doklady RAN, 1999, t. 367, # 6, s. 739–741.
  • Sultanaev Ya. T., Valeev N. F. Ob indeksakh defekta operatora Shturma–Leuvillya v prostanstve vektor-funktsii // Matematicheskie zametki, 1999, t. 65, vyp. 6, s. 932–938.

https://www.mathnet.ru/eng/person17797
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/211757

Publications in Math-Net.Ru Citations
2023
1. V. A. Sadovnichii, Ya. T. Sultanaev, N. F. Valeev, “Optimization spectral problem for the Sturm–Liouville operator in the space of vector functions”, Dokl. RAN. Math. Inf. Proc. Upr., 513 (2023),  93–98  mathnet  elib; Dokl. Math., 108:2 (2023), 406–410 2
2. N. F. Valeev, È. A. Nazirova, Ya. T. Sultanaev, “Construction of asymptotics of solutions to the Sturm–Liouville differential equations in the class of oscillating coefficients”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 5,  61–65  mathnet  elib; Moscow University Mathematics Bulletin, 78:5 (2023), 253–257
2022
3. L. N. Valeeva, È. A. Nazirova, Ya. T. Sultanaev, “On a Method for Studying the Asymptotics of Solutions of Sturm–Liouville Differential Equations with Rapidly Oscillating Coefficients”, Mat. Zametki, 112:6 (2022),  935–940  mathnet; Math. Notes, 112:6 (2022), 1059–1064  scopus 4
2021
4. N. F. Valeev, È. A. Nazirova, Ya. T. Sultanaev, “On a Method for Studying the Asymptotics of Solutions of Odd-Order Differential Equations with Oscillating Coefficients”, Mat. Zametki, 109:6 (2021),  938–943  mathnet  elib; Math. Notes, 109:6 (2021), 980–985  isi  scopus 7
2020
5. V. A. Sadovnichii, Ya. T. Sultanaev, A. M. Akhtyamov, “Uniqueness of reconstruction of an $n$th-order differential operator with nonseparated boundary conditions by several spectra”, Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020),  55–58  mathnet  zmath  elib; Dokl. Math., 101:1 (2020), 46–48
2019
6. N. F. Valeev, Ya. T. Sultanaev, É. A. Nazirova, “Spectral properties of differential operators with oscillating coefficients”, Tr. Mosk. Mat. Obs., 80:2 (2019),  179–195  mathnet  elib; Trans. Moscow Math. Soc., 80 (2019), 153–167  scopus
7. V. A. Sadovnichii, Ya. T. Sultanaev, A. M. Akhtyamov, “The finiteness of the spectrum of boundary value problems defined on a geometric graph”, Tr. Mosk. Mat. Obs., 80:2 (2019),  147–156  mathnet  elib; Trans. Moscow Math. Soc., 80 (2019), 123–131  scopus
2018
8. V. A. Sadovnichii, A. M. Akhtyamov, Ya. T. Sultanaev, “Inverse problem for a differential operator with nonseparated boundary conditions”, Dokl. Akad. Nauk, 479:6 (2018),  616–619  mathnet  mathscinet  zmath  elib; Dokl. Math., 97:2 (2018), 181–183  isi  elib  scopus
9. N. F. Valeev, O. V. Myakinova, Ya. T. Sultanaev, “On the Asymptotics of Solutions of a Singular $n$th-Order Differential Equation with Nonregular Coefficients”, Mat. Zametki, 104:4 (2018),  626–631  mathnet  mathscinet  elib; Math. Notes, 104:4 (2018), 606–611  isi  scopus 4
2017
10. A. M. Akhtyamov, V. A. Sadovnichy, Ya. T. Sultanaev, “Inverse problem for the diffusion operator with symmetric functions and general boundary conditions”, Eurasian Math. J., 8:1 (2017),  10–22  mathnet  isi 3
2016
11. N. F. Valeev, A. Eskermesuly, Ya. T. Sultanaev, “On the Deficiency Index of a Differential Operator with Fast Oscillating Coefficients”, Mat. Zametki, 100:3 (2016),  465–468  mathnet  mathscinet  elib; Math. Notes, 100:3 (2016), 486–490  isi  scopus 3
12. L. K. Kusainova, A. Myrzagaliyeva, Ya. T. Sultanaev, “On the Boundedness of the Schrödinger Operator in Weighted Sobolev Spaces”, Mat. Zametki, 99:6 (2016),  945–949  mathnet  mathscinet  elib; Math. Notes, 99:6 (2016), 948–953  isi  scopus 1
13. N. F. Valeev, Yu. V. Martynova, Ya. T. Sultanaev, “Solution of a model inverse spectral problem for the Sturm–Liouville operator on a graph”, Num. Meth. Prog., 17:3 (2016),  204–211  mathnet
2015
14. N. F. Valeev, E. A. Nazirova, Ya. T. Sultanaev, “On a new approach for studying asymptotic behavior of solutions to singular differential equations”, Ufimsk. Mat. Zh., 7:3 (2015),  9–15  mathnet  elib; Ufa Math. J., 7:3 (2015), 9–14  isi  scopus 9
2014
15. N. F. Valeev, È. A. Nazirova, Ya. T. Sultanaev, “Distribution of the eigenvalues of singular differential operators in a space of vector-functions”, Tr. Mosk. Mat. Obs., 75:2 (2014),  107–123  mathnet  elib; Trans. Moscow Math. Soc., 75 (2014), 89–102  scopus 1
16. N. K. Makina, É. A. Nazirova, Ya. T. Sultanaev, “On the Methods of Study of the Asymptotic Behavior of Solutions of Singular Differential Equations”, Mat. Zametki, 96:4 (2014),  627–632  mathnet  mathscinet  zmath  elib; Math. Notes, 96:4 (2014), 603–608  isi  elib  scopus 6
2012
17. A. M. Akhtyamov, V. A. Sadovnichy, Ya. T. Sultanaev, “Generalizations of Borg's uniqueness theorem to the case of nonseparated boundary conditions”, Eurasian Math. J., 3:4 (2012),  10–22  mathnet  mathscinet  zmath 9
2010
18. A. M. Akhtyamov, V. A. Sadovnichy, Ya. T. Sultanaev, “Inverse problem for an operator pencil with nonseparated boundary conditions”, Eurasian Math. J., 1:2 (2010),  5–16  mathnet  mathscinet  zmath 7
2009
19. Ya. T. Sultanaev, O. V. Myakinova, “On the Deficiency Indices of a Singular Differential Operator of Fourth Order in the Space of Vector Functions”, Mat. Zametki, 86:6 (2009),  950–953  mathnet  mathscinet  zmath; Math. Notes, 86:6 (2009), 895–898  isi  scopus 1
2006
20. Ya. T. Sultanaev, R. T. Islamova, “Study of the Equation of Partial Waves with Rapidly Oscillating Potential”, Mat. Zametki, 79:2 (2006),  288–293  mathnet  mathscinet  zmath  elib; Math. Notes, 79:2 (2006), 263–267  isi  scopus
2004
21. O. A. Romanova, Ya. T. Sultanaev, “Spectral Properties of Differential Operators of Order $2N$”, Mat. Zametki, 76:2 (2004),  303–307  mathnet  mathscinet  zmath; Math. Notes, 76:2 (2004), 280–285  isi  scopus
2003
22. Ya. T. Sultanaev, E. V. Silova, “The Spectral Asymptotics of a Quadratic Pencil of Differential Operators”, Differ. Uravn., 39:8 (2003),  1062–1067  mathnet  mathscinet; Differ. Equ., 39:8 (2003), 1117–1123
2002
23. V. R. Mukimov, Ya. T. Sultanaev, “$L^2$-Solutions of an Odd-Order Singular Differential Equation”, Differ. Uravn., 38:2 (2002),  190–194  mathnet  mathscinet; Differ. Equ., 38:2 (2002), 200–204 1
24. É. A. Nazirova, Ya. T. Sultanaev, “On the Deficiency Indices of Singular Differential Operators in the Degenerate Case”, Mat. Zametki, 71:1 (2002),  144–147  mathnet  mathscinet  zmath  elib; Math. Notes, 71:1 (2002), 131–135  isi  scopus 1
1999
25. N. F. Valeev, Ya. T. Sultanaev, “Spectral properties of the Sturm–Liouville operator in the space of vector functions”, Mat. Zametki, 65:6 (1999),  932–938  mathnet  mathscinet  zmath; Math. Notes, 65:6 (1999), 781–786  isi 4
1996
26. O. G. Gaidamak, Ya. T. Sultanaev, “Asymptotics of the spectrum of a quadratic pencil of differential operators”, Dokl. Akad. Nauk, 351:3 (1996),  297–298  mathnet  mathscinet  zmath
1995
27. V. R. Mukimov, Ya. T. Sultanaev, “On the deficiency indices of an odd-order symmetric differential operator”, Differ. Uravn., 31:12 (1995),  2083–2084  mathnet  mathscinet; Differ. Equ., 31:12 (1995), 2059–2061 1
28. V. R. Mukimov, Ya. T. Sultanaev, “The deficiency indices of a symmetric third-order differential operator”, Mat. Zametki, 58:3 (1995),  468–471  mathnet  mathscinet  zmath; Math. Notes, 58:3 (1995), 1002–1005  isi 2
1994
29. N. F. Valeev, Ya. T. Sultanaev, “Asymptotic behavior of the solutions of a singular Sturm–Liouville equation”, Dokl. Akad. Nauk, 335:6 (1994),  681–683  mathnet  mathscinet  zmath; Dokl. Math., 49:2 (1994), 403–407
1991
30. K. Kh. Boimatov, Ya. T. Sultanaev, “Estimation of the negative spectrum of a lower semibounded self-adjoint operator”, Mat. Zametki, 50:6 (1991),  142–145  mathnet  mathscinet  zmath; Math. Notes, 50:6 (1991), 1212–1215
1985
31. Ya. T. Sultanaev, “Deficiency indices and the spectrum of one-dimensional singular differential operators in the degenerate case”, Dokl. Akad. Nauk SSSR, 284:3 (1985),  551–555  mathnet  mathscinet  zmath 1
1984
32. Ya. T. Sultanaev, “Deficiency indices and the spectrum of the nonsemibounded Sturm–Liouville operator”, Dokl. Akad. Nauk SSSR, 276:5 (1984),  1072–1074  mathnet  mathscinet  zmath 1
1982
33. Ya. T. Sultanaev, “Asymptotic behavior of the spectrum of ordinary differential operators in the degenerate case”, Differ. Uravn., 18:10 (1982),  1694–1702  mathnet  mathscinet
1980
34. Kh. Kh. Murtazin, Ya. T. Sultanaev, “Formulas for the distribution of eigenvalues of nonsemibounded Sturm–Liouville operators”, Mat. Zametki, 28:4 (1980),  545–553  mathnet  mathscinet  zmath; Math. Notes, 28:4 (1980), 733–737  isi 4
1974
35. Ya. T. Sultanaev, “Asymptotic behavior of the discrete spectrum of one-dimensional singular differential operators”, Differ. Uravn., 10:11 (1974),  2010–2020  mathnet  mathscinet  zmath 4
36. Ya. T. Sultanaev, “The asymptotic behavior of the spectrum of a differential operator in a space of vector-valued functions”, Differ. Uravn., 10:9 (1974),  1673–1683  mathnet  mathscinet  zmath 3
37. Ya. T. Sultanaev, “A two-sided Tauberian theorem for ratios”, Izv. Vyssh. Uchebn. Zaved. Mat., 1974, no. 1,  103–112  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 18:1 (1974), 84–91 1
1973
38. M. Otelbaev, Ya. T. Sultanaev, “On the formula for the distribution of the eigenvalues of singular differential operators”, Mat. Zametki, 14:3 (1973),  361–368  mathnet  mathscinet  zmath; Math. Notes, 14:3 (1973), 768–771 1
2019
39. A. I. Aptekarev, A. M. Akhtyamov, O. V. Besov, A. A. Vladimirov, B. S. Kashin, K. A. Mirzoev, S. N. Naboko, R. O. Oinarov, I. V. Sadovnichaya, A. M. Savchuk, A. G. Sergeev, V. D. Stepanov, Ya. T. Sultanaev, D. V. Treschev, I. A. Sheipak, “Andrei Andreevich Shkalikov (on his seventieth birthday)”, Tr. Mosk. Mat. Obs., 80:2 (2019),  133–145  mathnet  elib; Trans. Moscow Math. Soc., 80 (2019), 113–122  scopus

Presentations in Math-Net.Ru
1. Оптимизационная обратная спектральная задача для матричного оператора Штурма–Лиувилля
N. F. Valeev, Ya. T. Sultanaev

November 7, 2022 17:30
2. Спектральные свойства дифференциальных операторов с осциллирующими коэффициентами
Ya. T. Sultanaev
Function Theory, Operator Theory and Quantum Information Theory
October 4, 2021 12:25   

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