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Mitrokhin, Sergei Ivanovich
Statistics Math-Net.Ru
Total publications: 35
Scientific articles: 35

Number of views:
This page:3644
Abstract pages:15214
Full texts:5585
Associate professor
Candidate of physico-mathematical sciences (1985)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:

https://www.mathnet.ru/eng/person46310
List of publications on Google Scholar
https://zbmath.org/authors/ai:mitrokhin.sergey-ivanovich
https://mathscinet.ams.org/mathscinet/MRAuthorID/233894
ISTINA https://istina.msu.ru/workers/1288936
https://orcid.org/0000-0003-1896-0563
https://www.scopus.com/authid/detail.url?authorId=7004215463

Publications in Math-Net.Ru Citations
2024
1. S. I. Mitrokhin, “On the asymptotic behavior of the eigenvalues of differential operator of even order with discontinuous weight function”, Taurida Journal of Computer Science Theory and Mathematics, 2024, no. 4,  86–101  mathnet
2022
2. S. I. Mitrokhin, “Regularized trace of a multipoint boundary value problem with a discontinuous weight function”, Vladikavkaz. Mat. Zh., 24:1 (2022),  65–86  mathnet  mathscinet
3. S. I. Mitrokhin, “Spectral properties of an even-order differential operator with a discontinuous weight function”, Russian Universities Reports. Mathematics, 27:137 (2022),  37–57  mathnet
4. S. I. Mitrokhin, “The formula of the first reqularized trace for a differential operator with a discontinuous weight function”, Mathematical Physics and Computer Simulation, 25:2 (2022),  23–41  mathnet  mathscinet
2021
5. S. I. Mitrokhin, “On the studying the spectrum of differential operators' family whose potentials converge to the Dirac delta function”, University proceedings. Volga region. Physical and mathematical sciences, 2021, no. 1,  20–38  mathnet
6. S. I. Mitrokhin, “On the asymptotics of spectrum of an even-order differential operator with a delta-function potential”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 25:4 (2021),  634–662  mathnet  zmath  elib
7. S. I. Mitrokhin, “Asymptotics of the spectrum of a periodic boundary value problem for an odd-order differential operator”, Mathematical Physics and Computer Simulation, 24:2 (2021),  5–17  mathnet
2020
8. S. I. Mitrokhin, “On the asymptotic behavior of the spectrum of a sixth-order differential operator, whose potential is the delta function”, Zhurnal SVMO, 22:3 (2020),  280–305  mathnet
9. S. I. Mitrokhin, “Asymptotics of the spectrum of even-order differential operators with discontinuos weight functions”, Zhurnal SVMO, 22:1 (2020),  48–70  mathnet 2
10. S. I. Mitrokhin, “On the study of the spectral properties of differential operators with a smooth weight function”, Russian Universities Reports. Mathematics, 25:129 (2020),  25–47  mathnet 1
2019
11. S. I. Mitrokhin, “Asymptotics of the spectrum of a periodic boundary value problem for a differential operator with a summable potential”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:1 (2019),  136–149  mathnet  elib 4
12. S. I. Mitrokhin, “On the study of the spectrum of a functional-differential operator with a summable potential”, Vladikavkaz. Mat. Zh., 21:2 (2019),  38–57  mathnet  elib
2018
13. S. I. Mitrokhin, “Asymptotic of eigenvalues of differential operator with alternating weight function”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 6,  31–47  mathnet; Russian Math. (Iz. VUZ), 62:6 (2018), 27–42  isi  scopus 11
14. S. I. Mitrokhin, “Asymptotics of eigenvalues of fourth order differential operator with alternating weight function”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, no. 6,  46–58  mathnet  mathscinet  zmath; Moscow University Mathematics Bulletin, 73:6 (2018), 254–265  isi  scopus 5
15. S. I. Mitrokhin, “Asymptotics of the spectrum of family functional-differential operators with summable potential”, Sib. J. Pure and Appl. Math., 18:4 (2018),  56–80  mathnet; J. Math. Sci., 253:3 (2021), 419–443
16. S. I. Mitrokhin, “On the study of spectral properties of differential operators of even order with discontinuous weight function”, Tambov University Reports. Series: Natural and Technical Sciences, 23:121 (2018),  74–99  mathnet  elib 1
17. S. I. Mitrokhin, “About the spectral properties of the family of the differential operator of even order with summable potential”, Mathematical Physics and Computer Simulation, 21:2 (2018),  13–26  mathnet
2017
18. S. I. Mitrokhin, “Multipoint differential operators: “splitting” of the multiple in main eigenvalues”, Izv. Saratov Univ. Math. Mech. Inform., 17:1 (2017),  5–18  mathnet  elib 1
19. S. I. Mitrokhin, “On the spectrum of the multipoint boundary value problem for an odd order differential operator with summable potential”, Mathematical notes of NEFU, 24:1 (2017),  26–42  mathnet  elib
20. S. I. Mitrokhin, “Study of differential operator with summable potential and discontinuous weight function”, Ufimsk. Mat. Zh., 9:4 (2017),  74–86  mathnet  elib; Ufa Math. J., 9:4 (2017), 72–84  isi  scopus 1
21. S. I. Mitrokhin, “A periodic boundary value problem for a fourth order differential operator with a summable potential”, Vladikavkaz. Mat. Zh., 19:4 (2017),  35–49  mathnet 3
22. S. I. Mitrokhin, “Spectral properties of the family of even order differential operators with a summable potential”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 4,  3–15  mathnet  mathscinet  elib; Moscow University Mathematics Bulletin, 72:4 (2017), 137–148  isi  scopus 3
23. S. I. Mitrokhin, “Asymptotics of spectrum of multipoint differential operators with summable potential”, Sib. J. Pure and Appl. Math., 17:2 (2017),  69–81  mathnet; J. Math. Sci., 231:2 (2018), 243–254 1
24. S. I. Mitrokhin, “On the “splitting” effect for multipoint differential operators with summable potential”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:2 (2017),  249–270  mathnet  zmath  elib
2016
25. S. I. Mitrokhin, “About asymptotics of the eigenvalues of model boundary problem for the family of differential operators with summable potential”, Meždunar. nauč.-issled. žurn., 2016, no. 10-2(52),  137–143  mathnet
26. S. I. Mitrokhin, “On a study of the spectrum of a boundary value problem for the fifth-order differential operator with integrable potential”, Mathematical notes of NEFU, 23:2 (2016),  78–89  mathnet  elib
2013
27. S. I. Mitrokhin, “Spectral properties of a Sturm–Liouville type differential operator with a retarding argument”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 4,  38–42  mathnet  mathscinet; Moscow University Mathematics Bulletin, 68:4 (2013), 198–201  scopus 2
2011
28. S. I. Mitrokhin, “On spectral properties of a differential operator with summable coefficients with a retarded argument”, Ufimsk. Mat. Zh., 3:4 (2011),  95–115  mathnet  zmath 15
2010
29. S. I. Mitrokhin, “Spectral properties of a fourth-order differential operator with integrable coefficients”, Trudy Mat. Inst. Steklova, 270 (2010),  188–197  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 270 (2010), 184–193  isi  scopus 10
2009
30. S. I. Mitrokhin, “The asymptotics of the eigenvalues of a fourth order differential operator with summable coefficients”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 3,  14–17  mathnet  mathscinet  zmath 14
2008
31. S. I. Mitrokhin, “О «расщеплении» кратных в главном собственных значений многоточечных краевых задач”, Matem. Mod. Kraev. Zadachi, 3 (2008),  130–133  mathnet 1
1997
32. S. I. Mitrokhin, “On the “splitting” in the main approximation of multiple eigenvalues of multipoint boundary value problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 3,  38–43  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 41:3 (1997), 37–42 11
1992
33. S. I. Mitrokhin, “Spectral properties of differential operators with discontinuous coefficients”, Differ. Uravn., 28:3 (1992),  530–532  mathnet  mathscinet  zmath 10
1986
34. S. I. Mitrokhin, “Trace formulas for a boundary value problem with a functional-differential equation with a discontinuous coefficient”, Differ. Uravn., 22:6 (1986),  927–931  mathnet  mathscinet 10
35. S. I. Mitrokhin, “Regularized trace formulas for second-order differential operators with discontinuous coefficients”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1986, no. 6,  3–6  mathnet  mathscinet  zmath 17

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