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Vahabov Abdulvahab Ismailovich

Publications in Math-Net.Ru

  1. Regularity of a problem of $3n$-th order with decaying boundary-value conditions

    Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 11,  10–15
  2. $3N$ spectral problem with $N$-fold substantial characteristics

    University proceedings. Volga region. Physical and mathematical sciences, 2019, no. 4,  42–50
  3. On the regularity of spectral tasks with two characteristic roots arbitrary multiplicity

    University proceedings. Volga region. Physical and mathematical sciences, 2019, no. 2,  21–27
  4. The task of basis property of root functions of differential sheaf of the $2n$d order with $n$-fold characteristics

    Mathematical Physics and Computer Simulation, 21:1 (2018),  5–10
  5. Series in root elements of the differential sheaf of tenth order with five-fold roots of the characteristic equation

    University proceedings. Volga region. Physical and mathematical sciences, 2017, no. 1,  44–50
  6. On the asymptotics with respect to a parameter of solutions of differential systems with coefficients in the class $L_q$

    Differ. Uravn., 46:1 (2010),  16–22
  7. Conditions for the $k$-fold completeness ($0<k\le n$) of root functions of an $n$th-order ordinary differential operator pencil

    Differ. Uravn., 42:6 (2006),  723–730
  8. An analytic method for solving a mixed problem for a quasilinear parabolic system

    Izv. Vyssh. Uchebn. Zaved. Mat., 2006, no. 7,  3–12
  9. $(C,1)$-Summability of Fourier Series in Root Functions of Ordinary Linear Differential Operators in a Space of Vector Functions

    Differ. Uravn., 41:8 (2005),  1037–1045
  10. Generalized solutions of a mixed boundary value problem for a quasilinear system

    Vladikavkaz. Mat. Zh., 7:3 (2005),  26–30
  11. Regularity Conditions for a Pencil of General Ordinary Differential Operators

    Differ. Uravn., 40:3 (2004),  299–309
  12. On the Completeness of Root Functions of Pencils of Linear Ordinary Differential Operators with General Boundary Conditions

    Differ. Uravn., 40:1 (2004),  5–14
  13. An initial-boundary value problem for a nonlinear wave equation in an $n$-dimensional rectangular domain

    Differ. Uravn., 36:10 (2000),  1345–1352
  14. The problem of the vibration of a finite string with nonlinear perturbation

    Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 3,  17–21
  15. An initial-boundary value problem for the nonlinear heat equation in an $n$-dimensional rectangular domain

    Differ. Uravn., 34:6 (1998),  782–788
  16. An initial-boundary value problem for a quasilinear wave equation in a space

    Differ. Uravn., 33:4 (1997),  506–509
  17. The generalized Fourier method for solving a mixed problem for hyperbolic systems

    Dokl. Akad. Nauk, 348:1 (1996),  11–14
  18. The generalized Fourier method for solving mixed problems for nonlinear equations

    Differ. Uravn., 32:1 (1996),  90–100
  19. Expansion in Fourier series of the solution of a mixed problem for the wave equation with delay conditions

    Dokl. Akad. Nauk, 337:3 (1994),  295–297
  20. On sharpening an asymptotic theorem of Tamarkin

    Differ. Uravn., 29:1 (1993),  41–49
  21. Asymptotic behavior of solutions of differential equations with respect to a parameter, and applications

    Dokl. Akad. Nauk, 326:2 (1992),  219–223
  22. A plane mixed problem with delay conditions for a hyperbolic equation

    Differ. Uravn., 28:1 (1992),  41–52
  23. Conditions for the well-posedness of two-dimensional mixed problems for hyperbolic systems

    Differ. Uravn., 27:3 (1991),  531–533
  24. On the violation of the equiconvergence of Fourier series that are connected with pencils of ordinary differential operators, and of trigonometric series

    Differ. Uravn., 27:2 (1991),  347–350
  25. Summation of $n$-multiple expansions in principal functions of pencils of ordinary differential operators

    Dokl. Akad. Nauk SSSR, 309:1 (1989),  20–23
  26. $n$-fold summability of series in principal functions of pencils of ordinary differential operators

    Dokl. Akad. Nauk SSSR, 299:3 (1988),  534–538
  27. Nonregular pencils of differential operators in a space of vector functions

    Differ. Uravn., 24:2 (1988),  199–207
  28. Fourier series expansions in principal functions of an elliptic operator

    Differ. Uravn., 23:10 (1987),  1736–1745
  29. Quadratic bundles of ordinary differential bundles

    Mat. Zametki, 42:3 (1987),  381–393
  30. Conditions for multiple completeness of eigenelements of an ordinary differential pencil

    Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 4,  13–20
  31. Completeness of the eigenfunctions of irregular differential operators in a space of vector-valued functions

    Mat. Zametki, 40:2 (1986),  197–202
  32. Asymptotic behavior of the zeros of a power-exponential polynomial

    Dokl. Akad. Nauk SSSR, 285:5 (1985),  1037–1041
  33. Asymptotic behavior, with respect to a parameter, of solutions of differential equations with multiple characteristics

    Dokl. Akad. Nauk SSSR, 283:5 (1985),  1047–1050
  34. Asymptotic expansion of solutions of systems of ordinary differential equations with a parameter

    Differ. Uravn., 21:9 (1985),  1475–1479
  35. A theorem on multiple completeness for ordinary differential pencils

    Dokl. Akad. Nauk SSSR, 275:1 (1984),  13–17
  36. Completeness of eigenfunctions of an ordinary differential pencil of non-Keldysh type

    Differ. Uravn., 20:3 (1984),  375–382
  37. On equiconvergence of expansions in trigonometric Fourier series and in principal functions of ordinary differential operators

    Izv. Akad. Nauk SSSR Ser. Mat., 48:3 (1984),  614–630
  38. Centralizers in matrix rings

    Dokl. Akad. Nauk SSSR, 271:2 (1983),  277–280
  39. On incompleteness of the system of eigenelements of differential operators in a space of vector-valued functions

    Dokl. Akad. Nauk SSSR, 271:1 (1983),  17–19
  40. A problem of vibration of a finite string

    Differ. Uravn., 19:12 (1983),  2163–2166
  41. On a case of violation of the multiple completeness property of the eigenfunctions for an ordinary differential pencil

    Dokl. Akad. Nauk SSSR, 263:1 (1982),  11–14
  42. On the multiple completeness of eigenfunctions of a type of ordinary differential pencil

    Differ. Uravn., 18:2 (1982),  194–197
  43. Double expansion in Fourier series in principal functions of a nonselfadjoint elliptic operator

    Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 3,  8–13
  44. Convergence of expansions of ordinary differential operators in Fourier series

    Mat. Zametki, 32:3 (1982),  303–307
  45. Representation of an arbitrary vector-valued function by the limit of the Laplace integral of the solution of a nonregular spectral problem

    Mat. Zametki, 32:1 (1982),  71–74
  46. On the multiple completeness of eigenfunctions and adjoint functions for ordinary differential bundles with irregular boundary conditions

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 3,  3–6
  47. On eigenelements of nonregular differential pencils with indecomposable boundary conditions

    Dokl. Akad. Nauk SSSR, 261:2 (1981),  268–271
  48. On the question of completeness of the system of eigenfunctions of a nonregular ordinary differential pencil

    Dokl. Akad. Nauk SSSR, 257:1 (1981),  15–18
  49. On the equiconvergence of expansions in a trigonometric Fourier series and in the principal functions of ordinary differential operators

    Dokl. Akad. Nauk SSSR, 254:6 (1980),  1294–1297
  50. Multiple summability in eigen- and associated functions for nonregular differential bundles

    Dokl. Akad. Nauk SSSR, 252:6 (1980),  1300–1303
  51. Conditions for being a basis of eigenelements of differential pencils

    Differ. Uravn., 16:10 (1980),  1731–1741
  52. A mixed problem for a hyperbolic system in space

    Differ. Uravn., 12:2 (1976),  305–308
  53. On a boundary value problem for a second-order elliptic system in a halfstrip

    Dokl. Akad. Nauk SSSR, 197:3 (1971),  513–516
  54. Conditions for the correctness of one-dimensional mixed problems for hyperbolic systems

    Dokl. Akad. Nauk SSSR, 155:6 (1964),  1247–1249


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