01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
16.10.1936
E-mail:
Keywords:
buchel differntial operators; reqular bushel; completenes eigen-function; summabilaty of series principal function; beginning-boundary problems.
Main publications:
Vagabov A. I., Magomedova E. S. Predstavlenie reshenii smeshannykh zadach dlya parabolicheskikh sistem integralami Puassona i ikh prilozheniya // Izv. vuzov Severo–Kavk. regiona. Est. nauki. 2001. 4. 13–17.
Vagabov A. ., Galyaev V. S. Summiruemost po Feieru obobschennykh ryadov Fure, svyazannykh s differentsialnymi operatorami // Dokl. RAN. 2001. 379(5). 439–442.
Vagabov A. I., Galyaev V. S. Algebraicheskie kriterii n–kratnoi polnoty kornevykh funktsii puchkov lineinykh obyknovennykh differentsialnykh operatorov s obschimi kraevymi usloviyami // Dokl. RAN. 2002. 382(6). 1–3.
A. I. Vagabov, “Regularity of a problem of $3n$-th order with decaying boundary-value conditions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 11, 10–15; Russian Math. (Iz. VUZ), 63:11 (2019), 7–12
2.
A. I. Vahabov, “$3N$ spectral problem with $N$-fold substantial characteristics”, University proceedings. Volga region. Physical and mathematical sciences, 2019, no. 4, 42–50
3.
A. I. Vahabov, “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
2018
4.
A. I. Vahabov, “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
A. I. Vahabov, “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
A. I. Vagabov, “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; Differ. Equ., 46:1 (2010), 17–23
A. I. Vagabov, Z. A. Abdurakhmanov, “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; Differ. Equ., 42:6 (2006), 771–778
8.
A. I. Vahabov, Z. A. Abdurakhmanov, “An analytic method for solving a mixed problem for a quasilinear parabolic system”, Izv. Vyssh. Uchebn. Zaved. Mat., 2006, no. 7, 3–12; Russian Math. (Iz. VUZ), 50:7 (2006), 1–10
A. I. Vagabov, V. R. Ragimkhanov, “$(C,1)$-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; Differ. Equ., 41:8 (2005), 1087–1096
A. I. Vagabov, Z. A. Abdurakhmanov, “Generalized solutions of a mixed boundary value problem for a quasilinear system”, Vladikavkaz. Mat. Zh., 7:3 (2005), 26–30
2004
11.
A. I. Vagabov, “Regularity Conditions for a Pencil of General Ordinary Differential Operators”, Differ. Uravn., 40:3 (2004), 299–309; Differ. Equ., 40:3 (2004), 318–328
12.
A. I. Vagabov, V. S. Galyaev, “On the Completeness of Root Functions of Pencils of Linear Ordinary Differential Operators with General Boundary Conditions”, Differ. Uravn., 40:1 (2004), 5–14; Differ. Equ., 40:1 (2004), 3–13
2000
13.
A. I. Vagabov, “An initial-boundary value problem for a nonlinear wave equation in an $n$-dimensional rectangular domain”, Differ. Uravn., 36:10 (2000), 1345–1352; Differ. Equ., 36:10 (2000), 1484–1492
1999
14.
A. I. Vahabov, “The problem of the vibration of a finite string with nonlinear perturbation”, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 3, 17–21; Russian Math. (Iz. VUZ), 43:3 (1999), 14–19
A. I. Vagabov, “An initial-boundary value problem for the nonlinear heat equation in an $n$-dimensional rectangular domain”, Differ. Uravn., 34:6 (1998), 782–788; Differ. Equ., 34:6 (1998), 779–785
1997
16.
A. I. Vagabov, “An initial-boundary value problem for a quasilinear wave equation in a space”, Differ. Uravn., 33:4 (1997), 506–509; Differ. Equ., 33:4 (1997), 508–512
1996
17.
A. I. Vagabov, “The generalized Fourier method for solving a mixed problem for
hyperbolic systems”, Dokl. Akad. Nauk, 348:1 (1996), 11–14
18.
A. I. Vagabov, “The generalized Fourier method for solving mixed problems for nonlinear equations”, Differ. Uravn., 32:1 (1996), 90–100; Differ. Equ., 32:1 (1996), 94–105
A. I. Vagabov, “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; Dokl. Math., 50:1 (1995), 53–57
1993
20.
A. I. Vagabov, “On sharpening an asymptotic theorem of Tamarkin”, Differ. Uravn., 29:1 (1993), 41–49; Differ. Equ., 29:1 (1993), 33–41
A. I. Vagabov, “Asymptotic behavior of solutions of differential equations with
respect to a parameter, and applications”, Dokl. Akad. Nauk, 326:2 (1992), 219–223; Dokl. Math., 46:2 (1993), 240–244
22.
A. I. Vagabov, “A plane mixed problem with delay conditions for a hyperbolic equation”, Differ. Uravn., 28:1 (1992), 41–52; Differ. Equ., 28:1 (1992), 39–50
1991
23.
A. I. Vahabov, “Conditions for the well-posedness of two-dimensional mixed problems for hyperbolic systems”, Differ. Uravn., 27:3 (1991), 531–533
24.
A. I. Vahabov, “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
1989
25.
A. I. Vagabov, “Summation of $n$-multiple expansions in principal functions of
pencils of ordinary differential operators”, Dokl. Akad. Nauk SSSR, 309:1 (1989), 20–23; Dokl. Math., 40:3 (1990), 457–461
1988
26.
A. I. Vagabov, “$n$-fold summability of series in principal functions of pencils
of ordinary differential operators”, Dokl. Akad. Nauk SSSR, 299:3 (1988), 534–538; Dokl. Math., 37:2 (1988), 394–398
27.
A. I. Vahabov, “Nonregular pencils of differential operators in a space of vector functions”, Differ. Uravn., 24:2 (1988), 199–207; Differ. Equ., 24:2 (1988), 148–154
1987
28.
A. I. Vahabov, “Fourier series expansions in principal functions of an elliptic operator”, Differ. Uravn., 23:10 (1987), 1736–1745
29.
A. I. Vahabov, “Quadratic bundles of ordinary differential bundles”, Mat. Zametki, 42:3 (1987), 381–393; Math. Notes, 42:3 (1987), 708–715
1986
30.
A. I. Vahabov, “Conditions for multiple completeness of eigenelements of an ordinary differential pencil”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 4, 13–20; Soviet Math. (Iz. VUZ), 30:4 (1986), 16–24
31.
A. I. Vahabov, “Completeness of the eigenfunctions of irregular differential operators in a space of vector-valued functions”, Mat. Zametki, 40:2 (1986), 197–202; Math. Notes, 40:2 (1986), 611–614
A. I. Vagabov, “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.
A. I. Vahabov, “Asymptotic expansion of solutions of systems of ordinary differential equations with a parameter”, Differ. Uravn., 21:9 (1985), 1475–1479
1984
35.
A. I. Vagabov, “A theorem on multiple completeness for ordinary differential
pencils”, Dokl. Akad. Nauk SSSR, 275:1 (1984), 13–17
36.
A. I. Vahabov, “Completeness of eigenfunctions of an ordinary differential pencil of non-Keldysh type”, Differ. Uravn., 20:3 (1984), 375–382
37.
A. I. Vahabov, “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; Math. USSR-Izv., 24:3 (1985), 567–582
A. I. Vahabov, B. A. Zeinalov, “Centralizers in matrix rings”, Dokl. Akad. Nauk SSSR, 271:2 (1983), 277–280
39.
A. I. Vahabov, “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. I. Vahabov, “A problem of vibration of a finite string”, Differ. Uravn., 19:12 (1983), 2163–2166
1982
41.
A. I. Vagabov, “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
A. I. Vahabov, “On the multiple completeness of eigenfunctions of a type of ordinary differential pencil”, Differ. Uravn., 18:2 (1982), 194–197
43.
A. I. Vahabov, “Double expansion in Fourier series in principal functions of a nonselfadjoint elliptic operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 1982, no. 3, 8–13; Soviet Math. (Iz. VUZ), 26:3 (1982), 8–14
44.
A. I. Vahabov, “Convergence of expansions of ordinary differential operators in Fourier series”, Mat. Zametki, 32:3 (1982), 303–307; Math. Notes, 32:3 (1982), 631–634
45.
A. I. Vahabov, “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; Math. Notes, 32:1 (1982), 515–517
46.
A. I. Vagabov, “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
1981
47.
A. I. Vagabov, “On eigenelements of nonregular differential pencils with indecomposable boundary conditions”, Dokl. Akad. Nauk SSSR, 261:2 (1981), 268–271
48.
A. I. Vahabov, “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
1980
49.
A. I. Vagabov, “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
A. I. Vagabov, “Multiple summability in eigen- and associated functions for nonregular differential bundles”, Dokl. Akad. Nauk SSSR, 252:6 (1980), 1300–1303
51.
A. I. Vahabov, “Conditions for being a basis of eigenelements of differential pencils”, Differ. Uravn., 16:10 (1980), 1731–1741
1976
52.
A. I. Vahabov, “A mixed problem for a hyperbolic system in space”, Differ. Uravn., 12:2 (1976), 305–308
1971
53.
M. G. Dzhavadov, A. I. Vahabov, “On a boundary value problem for a second-order elliptic system in a halfstrip”, Dokl. Akad. Nauk SSSR, 197:3 (1971), 513–516
1964
54.
A. I. Vagabov, “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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