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Mitrokhin Sergei Ivanovich

Publications in Math-Net.Ru

  1. Regularized trace of a multipoint boundary value problem with a discontinuous weight function

    Vladikavkaz. Mat. Zh., 24:1 (2022),  65–86
  2. Spectral properties of an even-order differential operator with a discontinuous weight function

    Russian Universities Reports. Mathematics, 27:137 (2022),  37–57
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. Asymptotics of the spectrum of even-order differential operators with discontinuos weight functions

    Zhurnal SVMO, 22:1 (2020),  48–70
  9. On the study of the spectral properties of differential operators with a smooth weight function

    Russian Universities Reports. Mathematics, 25:129 (2020),  25–47
  10. 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
  11. On the study of the spectrum of a functional-differential operator with a summable potential

    Vladikavkaz. Mat. Zh., 21:2 (2019),  38–57
  12. Asymptotic of eigenvalues of differential operator with alternating weight function

    Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 6,  31–47
  13. Asymptotics of eigenvalues of fourth order differential operator with alternating weight function

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, no. 6,  46–58
  14. Asymptotics of the spectrum of family functional-differential operators with summable potential

    Sib. J. Pure and Appl. Math., 18:4 (2018),  56–80
  15. 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
  16. 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
  17. Multipoint differential operators: “splitting” of the multiple in main eigenvalues

    Izv. Saratov Univ. Math. Mech. Inform., 17:1 (2017),  5–18
  18. 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
  19. Study of differential operator with summable potential and discontinuous weight function

    Ufimsk. Mat. Zh., 9:4 (2017),  74–86
  20. A periodic boundary value problem for a fourth order differential operator with a summable potential

    Vladikavkaz. Mat. Zh., 19:4 (2017),  35–49
  21. 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
  22. Asymptotics of spectrum of multipoint differential operators with summable potential

    Sib. J. Pure and Appl. Math., 17:2 (2017),  69–81
  23. 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
  24. 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
  25. 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
  26. 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
  27. On spectral properties of a differential operator with summable coefficients with a retarded argument

    Ufimsk. Mat. Zh., 3:4 (2011),  95–115
  28. Spectral properties of a fourth-order differential operator with integrable coefficients

    Trudy Mat. Inst. Steklova, 270 (2010),  188–197
  29. 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
  30. О «расщеплении» кратных в главном собственных значений многоточечных краевых задач

    Matem. Mod. Kraev. Zadachi, 3 (2008),  130–133
  31. 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
  32. Spectral properties of differential operators with discontinuous coefficients

    Differ. Uravn., 28:3 (1992),  530–532
  33. Trace formulas for a boundary value problem with a functional-differential equation with a discontinuous coefficient

    Differ. Uravn., 22:6 (1986),  927–931
  34. Regularized trace formulas for second-order differential operators with discontinuous coefficients

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1986, no. 6,  3–6

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