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Glushak Alexander Vasilevich

Publications in Math-Net.Ru

  1. On the solvability of nonlocal problems for the Euler–Poisson–Darboux functional differential equation

    Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 12,  27–39
  2. Power asymptotics of solutions of the two-sided cauchy problem for degenerate second-order differential equations

    Applied Mathematics & Physics, 57:1 (2025),  27–40
  3. On the Unique Solvability of Nonlocal Problems for Abstract Singular Equations

    Mat. Zametki, 115:5 (2024),  690–704
  4. Two-sided cauchy problem for degenerate second-order differential equations with conditions at the degeneracy point

    Applied Mathematics & Physics, 56:4 (2024),  245
  5. Cauchy problem for degenerate second order differential equations

    Applied Mathematics & Physics, 56:2 (2024),  87–96
  6. Dirichlet problem on the semiaxis for the abstract Euler–Poisson–Darboux equation containing powers of the group generator

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 228 (2023),  10–19
  7. Uniqueness criterion for solutions of inverse problems for abstract singular differential equations

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 226 (2023),  61–68
  8. First Asymptotics of Solutions of Degenerate Second-Order Differential Equations

    Mat. Zametki, 114:6 (2023),  1107–1117
  9. First asymptotics of solutions of degenerate differential equations of the second order

    Applied Mathematics & Physics, 55:3 (2023),  197–206
  10. Associated operator Legendre function and the incomplete Cauchy problem

    Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 9,  3–13
  11. Uniqueness Criterion for Solutions of Nonlocal Problems on a Finite Interval for Abstract Singular Equations

    Mat. Zametki, 111:1 (2022),  24–38
  12. Macdonald operator function and the incomplete Cauchy problem for the Euler–Poisson–Darboux equation

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 195 (2021),  35–43
  13. Uniqueness Criterion for the Solution of Boundary-Value Problems for the Abstract Euler–Poisson–Darboux Equation on a Finite Interval

    Mat. Zametki, 109:6 (2021),  821–831
  14. Family of Bessel operator functions

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 187 (2020),  36–43
  15. Operator hypergeometric functions

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 174 (2020),  37–45
  16. Nonlocal problem for the abstract Bessel–Struve eguation

    Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 7,  29–38
  17. An Operator Formula for the Shift of the Solution of the Cauchy Problem for an abstract Euler–Poisson–Darboux Equation

    Mat. Zametki, 105:5 (2019),  656–665
  18. Uniquely solvable problems for abstract Legendre equation

    Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 7,  3–15
  19. Solution of a boundary value problem for velocity-linearized Navier–Stokes equations in the case of a heated spherical solid particle settling in fluid

    Zh. Vychisl. Mat. Mat. Fiz., 58:7 (2018),  1178–1188
  20. Investigation of boundary-value problem for slow flow of a sphere by viscous non-isothermal gas

    Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 12,  54–65
  21. Abstract Euler–Poisson–Darboux equation with nonlocal condition

    Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 6,  27–35
  22. On solvability of the initial problem for Bessel - Struve equation with bounded operator

    Applied Mathematics & Physics, 43:13 (2016),  5–11
  23. Connection formulas between solutions of abstract singular differential equations

    Applied Mathematics & Physics, 42:6 (2016),  36–39
  24. On the solvability of an abstract differential equation of fractional order with a variable operator

    CMFD, 47 (2013),  18–32
  25. Boundary value problem for the Navier–Stokes equations linearized in rate in the case of non-isothermal flow of heated gaseous medium spheroid

    Zh. Vychisl. Mat. Mat. Fiz., 52:5 (2012),  946–959
  26. On perturbations of abstract fractional differential equations by nonlinear operators

    CMFD, 35 (2010),  5–21
  27. On an Inverse Problem for an Abstract Differential Equation of Fractional Order

    Mat. Zametki, 87:5 (2010),  684–693
  28. Correctness of Cauchy-type problems for abstract differential equations with fractional derivatives

    Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 9,  13–24
  29. Inverse problems for evolution equations with fractional integrals at boundary-value conditions

    CMFD, 29 (2008),  49–61
  30. On the Properties of a Cauchy-Type Problem for an Abstract Differential Equation with Fractional Derivatives

    Mat. Zametki, 82:5 (2007),  665–677
  31. Inverse problem for Euler–Poisson–Darboux abstract differential equation

    CMFD, 15 (2006),  126–141
  32. On the relationship between the integrated cosine function and the operator Bessel function

    Differ. Uravn., 42:5 (2006),  583–589
  33. Numerical solution of the linear inverse problem for the Euler–Darboux equation

    Zh. Vychisl. Mat. Mat. Fiz., 46:5 (2006),  848–857
  34. Cauchy-type problem for an abstract differential equation with fractional derivatives

    Mat. Zametki, 77:1 (2005),  28–41
  35. Properties of Solutions of Equations Containing Powers of an Unbounded Operator

    Differ. Uravn., 39:10 (2003),  1355–1365
  36. An Abstract Euler–Poisson–Darboux Equation Containing Powers of an Unbounded Operator

    Differ. Uravn., 37:5 (2001),  706–709
  37. The Legendre operator function

    Izv. RAN. Ser. Mat., 65:6 (2001),  3–14
  38. On the stabilization of the solution of the Cauchy problem for a first-order abstract differential equation

    Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 11,  3–13
  39. The operator Bessel function, related semigroups, and a modified Hilbert transform

    Differ. Uravn., 35:1 (1999),  128–130
  40. Iterated Cauchy and Dirichlet problems with a Bessel operator in a Banach space.

    Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 8,  3–10
  41. Regular and singular perturbations of an abstract Euler–Poisson–Darboux equation

    Mat. Zametki, 66:3 (1999),  364–371
  42. On a first-order linear inhomogeneous equation with a singularity

    Differ. Uravn., 34:9 (1998),  1284–1285
  43. The Bessel operator function

    Dokl. Akad. Nauk, 352:5 (1997),  587–589
  44. Stabilization of the solution of the Dirichlet problem for an elliptic equation in a Banach space

    Differ. Uravn., 33:4 (1997),  510–514
  45. On the asymptotic proximity of the solutions of a Cauchy problem for first-order differential equations in a Banach space

    Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 7,  14–17
  46. Perturbations of an abstract Euler–Poisson–Darboux equation

    Mat. Zametki, 60:3 (1996),  363–369
  47. On an abstract Euler-Poisson-Darboux equation with a singularity in the lowest term

    Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 3,  3–7
  48. Integral representation and stabilization of the solution to the Cauchy problem for an equation with two noncommuting operators

    Mat. Zametki, 58:1 (1995),  38–47
  49. A necessary and sufficient condition for the stabilization of the solution of the Cauchy problem for an equation with operator coefficients

    Differ. Uravn., 30:7 (1994),  1111–1117
  50. Stabilization of the solution of the Cauchy problem for a first-order differential equation in a Banach space

    Dokl. Akad. Nauk, 326:2 (1992),  224–226
  51. Integral representations of solutions of a singular equation containing a sum of commuting operators

    Differ. Uravn., 28:5 (1992),  831–838
  52. Some well-posed problems for higher-order parabolic equations that degenerate with respect to the time variable

    Differ. Uravn., 22:6 (1986),  1065–1068
  53. A singular abstract Cauchy problem

    Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 6,  55–56
  54. Solvability of the Dirichlet problem for a degenerate equation in a sector of the plane

    Dokl. Akad. Nauk SSSR, 223:5 (1975),  1048–1051
  55. A degenerate elliptic-parabolic equation in an unbounded domain

    Sibirsk. Mat. Zh., 16:4 (1975),  691–699

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