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Glushak, Alexander Vasilevich
Statistics Math-Net.Ru
Total publications: 56
Scientific articles: 56

Number of views:
This page:1856
Abstract pages:23109
Full texts:9682
Professor
Doctor of physico-mathematical sciences
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail: ,

https://www.mathnet.ru/eng/person11513
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/236129

Publications in Math-Net.Ru Citations
2025
1. A. V. Glushak, “On the solvability of nonlocal problems for the Euler–Poisson–Darboux functional differential equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 12,  27–39  mathnet
2. V. P. Arkhipov, A. V. Glushak, “On the solvability of the initial value problem for a factorized degenerate second-order differential equation”, Applied Mathematics & Physics, 57:3 (2025),  193–207  mathnet
3. V. P. Arkhipov, A. V. Glushak, “Power asymptotics of solutions of the two-sided cauchy problem for degenerate second-order differential equations”, Applied Mathematics & Physics, 57:1 (2025),  27–40  mathnet
2024
4. A. V. Glushak, “On the Unique Solvability of Nonlocal Problems for Abstract Singular Equations”, Mat. Zametki, 115:5 (2024),  690–704  mathnet  mathscinet; Math. Notes, 115:5 (2024), 706–718  isi  scopus
5. V. P. Arkhipov, A. V. Glushak, “Two-sided cauchy problem for degenerate second-order differential equations with conditions at the degeneracy point”, Applied Mathematics & Physics, 56:4 (2024),  245  mathnet
6. V. P. Arkhipov, A. V. Glushak, “Cauchy problem for degenerate second order differential equations”, Applied Mathematics & Physics, 56:2 (2024),  87–96  mathnet
2023
7. A. V. Glushak, “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  mathnet
8. A. V. Glushak, “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  mathnet
9. V. P. Arkhipov, A. V. Glushak, “First Asymptotics of Solutions of Degenerate Second-Order Differential Equations”, Math. Notes, 114:6 (2023), 1107–1117  mathnet  isi  scopus
10. V. P. Arkhipov, A. V. Glushak, “First asymptotics of solutions of degenerate differential equations of the second order”, Applied Mathematics & Physics, 55:3 (2023),  197–206  mathnet; Mathematical Notes, 114:6 (2023), 1107–1117
2022
11. A. V. Glushak, “Associated operator Legendre function and the incomplete Cauchy problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 9,  3–13  mathnet; Russian Math. (Iz. VUZ), 66:9 (2022), 1–10 2
12. A. V. Glushak, “Uniqueness Criterion for Solutions of Nonlocal Problems on a Finite Interval for Abstract Singular Equations”, Mat. Zametki, 111:1 (2022),  24–38  mathnet  mathscinet; Math. Notes, 111:1 (2022), 20–32  isi  scopus 3
2021
13. A. V. Glushak, “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  mathnet 2
14. A. V. Glushak, “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  mathnet  elib; Math. Notes, 109:6 (2021), 867–875  isi  scopus 4
2020
15. A. V. Glushak, “Family of Bessel operator functions”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 187 (2020),  36–43  mathnet  mathscinet; J. Math. Sci. (N. Y.), 287:5 (2025), 721–728 9
16. A. V. Glushak, “Operator hypergeometric functions”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 174 (2020),  37–45  mathnet  mathscinet 1
2019
17. A. V. Glushak, “Nonlocal problem for the abstract Bessel–Struve eguation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 7,  29–38  mathnet; Russian Math. (Iz. VUZ), 63:7 (2019), 24–32  isi  scopus 4
18. A. V. Glushak, “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  mathnet  mathscinet  elib; Math. Notes, 105:5 (2019), 649–656  isi  scopus 5
2018
19. A. V. Glushak, “Uniquely solvable problems for abstract Legendre equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 7,  3–15  mathnet; Russian Math. (Iz. VUZ), 62:7 (2018), 1–12  isi  scopus 5
20. A. V. Glushak, N. V. Malai, E. R. Shchukin, “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  mathnet  elib; Comput. Math. Math. Phys., 58:7 (2018), 1132–1141  isi  scopus 3
2016
21. N. V. Malai, A. V. Glushak, A. V. Limanskaya, “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  mathnet; Russian Math. (Iz. VUZ), 60:12 (2016), 43–53  isi  scopus 3
22. A. V. Glushak, “Abstract Euler–Poisson–Darboux equation with nonlocal condition”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 6,  27–35  mathnet; Russian Math. (Iz. VUZ), 60:6 (2016), 21–28  isi  scopus 21
23. A. V. Glushak, “On solvability of the initial problem for Bessel - Struve equation with bounded operator”, Applied Mathematics & Physics, 43:13 (2016),  5–11  mathnet
24. A. V. Glushak, T. G. Romanchenko, “Connection formulas between solutions of abstract singular differential equations”, Applied Mathematics & Physics, 42:6 (2016),  36–39  mathnet
2013
25. A. V. Glushak, H. K. Avad, “On the solvability of an abstract differential equation of fractional order with a variable operator”, CMFD, 47 (2013),  18–32  mathnet; Journal of Mathematical Sciences, 202:5 (2014), 637–652  scopus 3
2012
26. A. V. Glushak, N. V. Malay, N. N. Mironova, “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  mathnet 3
2010
27. H. K. Avad, A. V. Glushak, “On perturbations of abstract fractional differential equations by nonlinear operators”, CMFD, 35 (2010),  5–21  mathnet  mathscinet; Journal of Mathematical Sciences, 170:3 (2010), 306–323  scopus 2
28. A. V. Glushak, “On an Inverse Problem for an Abstract Differential Equation of Fractional Order”, Mat. Zametki, 87:5 (2010),  684–693  mathnet  mathscinet; Math. Notes, 87:5 (2010), 654–662  isi  scopus 25
2009
29. A. V. Glushak, “Correctness of Cauchy-type problems for abstract differential equations with fractional derivatives”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 9,  13–24  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 53:9 (2009), 10–19 6
2008
30. A. V. Glushak, “Inverse problems for evolution equations with fractional integrals at boundary-value conditions”, CMFD, 29 (2008),  49–61  mathnet  mathscinet  elib; Journal of Mathematical Sciences, 164:4 (2010), 518–530  scopus 1
2007
31. A. V. Glushak, “On the Properties of a Cauchy-Type Problem for an Abstract Differential Equation with Fractional Derivatives”, Mat. Zametki, 82:5 (2007),  665–677  mathnet  mathscinet  zmath  elib; Math. Notes, 82:5 (2007), 596–607  isi  scopus 6
2006
32. A. V. Glushak, V. A. Popova, “Inverse problem for Euler–Poisson–Darboux abstract differential equation”, CMFD, 15 (2006),  126–141  mathnet  mathscinet; Journal of Mathematical Sciences, 149:4 (2008), 1453–1468 15
33. A. V. Glushak, “On the relationship between the integrated cosine function and the operator Bessel function”, Differ. Uravn., 42:5 (2006),  583–589  mathnet  mathscinet; Differ. Equ., 42:5 (2006), 619–626 15
34. A. V. Glushak, T. T. Karakeev, “Numerical solution of the linear inverse problem for the Euler–Darboux equation”, Zh. Vychisl. Mat. Mat. Fiz., 46:5 (2006),  848–857  mathnet  mathscinet; Comput. Math. Math. Phys., 46:5 (2006), 810–819  scopus 5
2005
35. A. V. Glushak, “Cauchy-type problem for an abstract differential equation with fractional derivatives”, Mat. Zametki, 77:1 (2005),  28–41  mathnet  mathscinet  zmath  elib; Math. Notes, 77:1 (2005), 26–38  isi  scopus 15
2003
36. A. V. Glushak, “Properties of Solutions of Equations Containing Powers of an Unbounded Operator”, Differ. Uravn., 39:10 (2003),  1355–1365  mathnet  mathscinet; Differ. Equ., 39:10 (2003), 1428–1439 2
2001
37. S. A. Vorob'eva, A. V. Glushak, “An Abstract Euler–Poisson–Darboux Equation Containing Powers of an Unbounded Operator”, Differ. Uravn., 37:5 (2001),  706–709  mathnet  mathscinet; Differ. Equ., 37:5 (2001), 743–746 4
38. A. V. Glushak, “The Legendre operator function”, Izv. RAN. Ser. Mat., 65:6 (2001),  3–14  mathnet  mathscinet  zmath; Izv. Math., 65:6 (2001), 1073–1083  scopus 8
39. A. V. Glushak, “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  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 45:11 (2001), 1–11 3
1999
40. A. V. Glushak, “The operator Bessel function, related semigroups, and a modified Hilbert transform”, Differ. Uravn., 35:1 (1999),  128–130  mathnet  mathscinet; Differ. Equ., 35:1 (1999), 130–132 4
41. A. V. Glushak, “Iterated Cauchy and Dirichlet problems with a Bessel operator in a Banach space.”, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 8,  3–10  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 43:8 (1999), 1–8 1
42. A. V. Glushak, “Regular and singular perturbations of an abstract Euler–Poisson–Darboux equation”, Mat. Zametki, 66:3 (1999),  364–371  mathnet  mathscinet  zmath  elib; Math. Notes, 66:3 (1999), 292–298  isi 16
1998
43. A. V. Glushak, “On a first-order linear inhomogeneous equation with a singularity”, Differ. Uravn., 34:9 (1998),  1284–1285  mathnet  mathscinet; Differ. Equ., 34:9 (1998), 1285–1287
1997
44. A. V. Glushak, “The Bessel operator function”, Dokl. Akad. Nauk, 352:5 (1997),  587–589  mathnet  mathscinet  zmath 14
45. A. V. Glushak, “Stabilization of the solution of the Dirichlet problem for an elliptic equation in a Banach space”, Differ. Uravn., 33:4 (1997),  510–514  mathnet  mathscinet; Differ. Equ., 33:4 (1997), 513–517 5
46. A. V. Glushak, “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  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 41:7 (1997), 12–15 2
1996
47. A. V. Glushak, “Perturbations of an abstract Euler–Poisson–Darboux equation”, Mat. Zametki, 60:3 (1996),  363–369  mathnet  mathscinet  zmath  elib; Math. Notes, 60:3 (1996), 269–273  isi 15
1995
48. A. V. Glushak, “On an abstract Euler-Poisson-Darboux equation with a singularity in the lowest term”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 3,  3–7  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 39:3 (1995), 1–5 1
49. A. V. Glushak, “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  mathnet  mathscinet  zmath; Math. Notes, 58:1 (1995), 703–709  isi
1994
50. A. V. Glushak, “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  mathnet  mathscinet; Differ. Equ., 30:7 (1994), 1030–1036
1992
51. A. V. Glushak, V. D. Repnikov, “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  mathnet  mathscinet  zmath; Dokl. Math., 46:2 (1993), 245–247 3
52. A. V. Glushak, S. D. Shmulevich, “Integral representations of solutions of a singular equation containing a sum of commuting operators”, Differ. Uravn., 28:5 (1992),  831–838  mathnet  mathscinet; Differ. Equ., 28:5 (1992), 676–682 2
1986
53. A. V. Glushak, S. D. Shmulevich, “Some well-posed problems for higher-order parabolic equations that degenerate with respect to the time variable”, Differ. Uravn., 22:6 (1986),  1065–1068  mathnet  mathscinet  zmath
54. A. V. Glushak, V. I. Kononenko, S. D. Shmulevich, “A singular abstract Cauchy problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 6,  55–56  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 30:6 (1986), 78–81 11
1975
55. A. V. Glushak, “Solvability of the Dirichlet problem for a degenerate equation in a sector of the plane”, Dokl. Akad. Nauk SSSR, 223:5 (1975),  1048–1051  mathnet  mathscinet  zmath
56. A. V. Glushak, “A degenerate elliptic-parabolic equation in an unbounded domain”, Sibirsk. Mat. Zh., 16:4 (1975),  691–699  mathnet  mathscinet  zmath; Siberian Math. J., 16:4 (1975), 530–535  isi

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