01.01.02 (Differential equations, dynamical systems, and optimal control)
Main publications:
Kilbas A. A., Repin O. A., Saigo M., “Compositions of generalized fractional integration operators as modified $G$-transforms”, Fukuoka Univ. Sci. Rep., 32:1 (2002), 1–18
Kilbas A. A., Repin O. A., Saigo M., “Generalized fractional integral transforms with Gauss function kernels as $G$-transforms”, Integral Transforms Spec. Funct., 13:3 (2002), 285–307
Kilbas A. A., Repin O. A., Saigo M., “Nonlocal problem for the hyperbolic equation with fractional derivatives in the boundary condition”, Fukuoka Univ. Sci. Rep., 33:2 (2003), 1–8
Repin O. A., “On the Bitsadze–Samarsky problem for the equation of mixed type with degeneration of different kinds”, International conference “Ill-posed and inverse problems” dedicated to prof. M. M. Lavrent'ev on the occasion of his 70th anniversary, 2002, 4–6
Repin O. A., “Analog zadachi Bitsanze–Samarskogo dlya uravneniya smeshannogo tipa s drobnoi proizvodnoi”, Differentsialnye uravneniya, 39:5 (2003), 638–644
Repin O. A., “Analog zadachi Nakhusheva dlya uravneniya Bitsadze–Lykova”, Differentsialnye uravneniya, 38:10, 1412–1417
Efimova S. V., Repin O. A., “Zadacha s nelokalnymi usloviyami na kharakteristikakh dlya uravneniya vlagoperenosa”, Differentsialnye uravneniya, 40:10 (2004), 1419–1422
Repin O. A., Sukhanova E. I., Shiryaeva L. K., Matematika dlya ekonomistov. Teoriya veroyatnostei i matematicheskaya statistika, uchebnoe posobie, Sam. gos. ekon. un-t, Samara, 2005
Repin O. A., Sukhanova E. I., Shiryaeva L. K., Matematika dlya ekonomistov. Sbornik zadach po teorii veroyatnostei i matematicheskoi statistike, uchebnoe posobie, Sam. gos. ekon. un-t, Samara, 2005, 224 s.
O. A. Repin, “Nonlocal problem with Saigo operators for mixed type equation of the third order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 1, 63–68; Russian Math. (Iz. VUZ), 63:1 (2019), 55–60
O. A. Repin, “On a problem for mixed-type equation with fractional derivative”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 8, 46–51; Russian Math. (Iz. VUZ), 62:8 (2018), 38–42
O. A. Repin, “Boundary-value problem with Saigo operatos for mixed type equation with fractional derivative”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 1, 81–86; Russian Math. (Iz. VUZ), 62:1 (2018), 70–75
O. A. Repin, S. K. Kumykova, “Nonlocal problem for degenerating hyperbolic equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 7, 50–56
5.
O. A. Repin, S. K. Kumykova, “The problem with operators of fractional differentiation in boundary condition for mixed-type equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 4, 43–49; Russian Math. (Iz. VUZ), 61:4 (2017), 35–40
O. A. Repin, “On a problem with shift for mixed type equation with two degeneration lines”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 1, 53–59; Russian Math. (Iz. VUZ), 61:1 (2017), 47–52
O. A. Repin, “The problem with Saigo operators for a hyperbolic equation that degenerates inside the domain”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:3 (2017), 473–480
8.
O. A. Repin, “On a boundary-value problem with Saigo operators for a mixed-type equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:2 (2017), 271–277
O. A. Repin, S. K. Kumykova, “On the solvability of nonlocal problem for a hyperbolic equation of the second kind”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 9, 51–58; Russian Math. (Iz. VUZ), 60:9 (2016), 46–52
10.
O. A. Repin, A. V. Tarasenko, “On a problem for mixed type equation with partial Riemann–Liouville fractional derivative”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 20:4 (2016), 636–643
O. A. Repin, S. K. Kumykova, “An internal boundary value problem with the Riemann–Liouville operator for the mixed type equation of the third order”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 20:1 (2016), 43–53
O. A. Repin, S. K. Kumykova, “Boundary-value problem with Saigo operators for mixed type equation of the third order with multiple characteristics”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 7, 49–57; Russian Math. (Iz. VUZ), 59:7 (2015), 44–51
O. A. Repin, S. K. Kumykova, “Nonlocal problem with generalized operators of fractional differentiation for an equation of mixed type in an unbounded domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 4, 60–64; Russian Math. (Iz. VUZ), 59:4 (2015), 50–53
O. A. Repin, “Boundary value problem for partial differential equation with fractional Riemann–Liouville derivative”, Ufimsk. Mat. Zh., 7:3 (2015), 70–75; Ufa Math. J., 7:3 (2015), 67–72
O. A. Repin, A. V. Tarasenko, “Nonlocal problem for partial differential equations of fractional order”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 19:1 (2015), 78–86
O. A. Repin, S. K. Kumykova, “Nonlocal problem with fractional derivatives for mixed type equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 8, 79–85; Russian Math. (Iz. VUZ), 58:8 (2014), 65–70
O. A. Repin, S. K. Kumykova, “On a class of nonlocal problems for hyperbolic equations with degeneration of type and order”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 4(37) (2014), 22–32
O. A. Repin, “Boundary Value Problem with Shift for One Partial Differential Equation Containing Partial Fractional Derivative”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(35) (2014), 22–32
O. A. Repin, S. K. Kumykova, “A Boundary-value Problem with Shift for a Hyperbolic Equation Degenerate in the Interior of a Region”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(34) (2014), 37–47
O. A. Repin, S. K. Kumykova, “A nonlocal problem for a mixed-type equation whose order degenerates along the line of change of type”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 8, 57–65; Russian Math. (Iz. VUZ), 57:8 (2013), 49–56
O. A. Repin, S. K. Kumykova, “On the problem with generalized operators of fractional differentiation for mixed type equation with two degeneracy lines”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 150–158
O. A. Repin, S. K. Kumykova, “A problem with generalized fractional integro-differentiation operator of an arbitrary order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 12, 59–71; Russian Math. (Iz. VUZ), 56:12 (2012), 50–60
O. A. Repin, S. K. Kumykova, “Problem with shift for the third-order equation with discontinuous coefficients”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 4(29) (2012), 17–25
O. A. Repin, S. K. Kumykova, “On a problem with generalized operators of fractional differentiation for a degenerated inside a domain hyperbolic equation”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, no. 9(100), 52–60
O. A. Repin, S. A. Sayganova, “A boundary-value problem with shifted for a mixed type equation with fractional derivative”, Izv. Saratov Univ. Math. Mech. Inform., 11:1 (2011), 89–94
26.
O. A. Repin, S. K. Kumykova, “Nonlocal problem for a equation of mixed type of third order with generalized operators of fractional integro-differentiation of arbitrary order”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 4(25) (2011), 25–36
O. A. Repin, S. M. Zaikina, “Some new generalized integral transformations and their application in differential equations theory”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(23) (2011), 8–16
O. A. Repin, S. K. Kumykova, “Nonlocal boundary value problem for a Lykov's type system of first-order”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(22) (2011), 140–150
2010
29.
O. A. Repin, S. K. Kumykova, “A nonlocal problem for the Bitsadze–Lykov equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 3, 28–35; Russian Math. (Iz. VUZ), 54:3 (2010), 24–30
O. A. Repin, “О задаче с операторами дробного интегро-дифференцирования в краевом условии для вырождающегося гиперболического уравнения”, Matem. Mod. Kraev. Zadachi, 3 (2008), 143–149
2006
31.
E. Yu. Arlanova, O. A. Repin, “Аналог второй задачи Дарбу для одного вырождающегося гиперболического уравнения”, Matem. Mod. Kraev. Zadachi, 3 (2006), 46–51
32.
O. A. Repin, “О задаче с операторами М. Сайго на характеристиках для вырождающегося внутри области гиперболического уравнения”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 43 (2006), 10–14
O. A. Repin, “A nonlocal problem for a mixed-type equation with a singular coefficient”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 34 (2005), 5–9
S. V. Efimova, O. A. Repin, “A problem with nonlocal conditions on characteristics for the moisture transfer equation”, Differ. Uravn., 40:10 (2004), 1419–1422; Differ. Equ., 40:10 (2004), 1498–1502
O. A. Repin, “О разрешимости одной нелокальной задачи для параболо-гиперболического уравнения с дробной производной”, Matem. Mod. Kraev. Zadachi, 3 (2004), 183–188
O. A. Repin, “On a problem with generalized operators of fractional integro-differentiation for hyperbolic type equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 30 (2004), 70–72
2003
37.
A. A. Kilbas, O. A. Repin, “An Analog of the Bitsadze–Samarskii Problem for a Mixed Type Equation with a Fractional Derivative”, Differ. Uravn., 39:5 (2003), 638–644; Differ. Equ., 39:5 (2003), 674–680
M. E. Lerner, O. A. Repin, “A boundary value problem for mixed-type equations in domains with multiply connected hyperbolicity subdomains”, Sibirsk. Mat. Zh., 44:1 (2003), 160–177; Siberian Math. J., 44:1 (2003), 132–146
2002
39.
O. A. Repin, “An Analog of the Nakhushev Problem for the Bitsadze–Lykov Equation”, Differ. Uravn., 38:10 (2002), 1412–1417; Differ. Equ., 38:10 (2002), 1503–1509
O. A. Repin, “An analogue of the problem of A.M. Nakhushev for the Bitsadze-Lykov equation”, News of the Kabardin-Balkar scientific center of RAS, 2002, no. 1, 79–83
41.
O. A. Repin, S. V. Efimova, “A nonlocal boundary value problem for a parabolic-hyperbolic equation with a non-characteristic line of type changing”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 16 (2002), 10–14
M. E. Lerner, O. A. Repin, “Nonlocal Boundary Value Problems in a Vertical Half-Strip for a Generalized Axisymmetric Helmholtz Equation”, Differ. Uravn., 37:11 (2001), 1562–1564; Differ. Equ., 37:11 (2001), 1640–1642
O. A. Repin, “Нелокальная задача А. М. Нахушева для уравнения смешанного типа”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 12 (2001), 5–9
M. E. Lerner, O. A. Repin, “Boundary value problems for a mixed-type equation in domains with a doubly connected hyperbolicity subdomain”, Differ. Uravn., 36:10 (2000), 1361–1364; Differ. Equ., 36:10 (2000), 1502–1506
M. E. Lerner, O. A. Repin, “Essentially nonlocal boundary value problem for a certain partial differential equation”, Mat. Zametki, 67:3 (2000), 478–480; Math. Notes, 67:3 (2000), 406–409
O. A. Repin, “Mixed problem for a loaded Gellerstedt equation with the M. Saigo operator in edge condition”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 9 (2000), 13–18
M. E. Lerner, O. A. Repin, “On Frankl'-type problems for some elliptic equations with degeneration of various types”, Differ. Uravn., 35:8 (1999), 1087–1093; Differ. Equ., 35:8 (1999), 1098–1104
M. E. Lerner, O. A. Repin, “On a problem with two nonlocal boundary conditions for an equation of mixed type”, Sibirsk. Mat. Zh., 40:6 (1999), 1260–1275; Siberian Math. J., 40:6 (1999), 1064–1078
A. A. Kilbas, O. A. Repin, “A problem with a shift for a parabolic-hyperbolic equation”, Differ. Uravn., 34:6 (1998), 799–805; Differ. Equ., 34:6 (1998), 796–802
O. A. Repin, “On the solvability of a problem with a boundary condition on the characteristics for a degenerate hyperbolic equation”, Differ. Uravn., 34:1 (1998), 110–113; Differ. Equ., 34:1 (1998), 113–116
O. A. Repin, M. E. Lerner, “О задаче Дирихле для обобщенного двуосесимметрического уравнения Гельмгольца в первом квадранте”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 6 (1998), 5–8
O. A. Repin, “The Tricomi problem for an equation of mixed type in a domain whose elliptic part is a half-strip”, Differ. Uravn., 32:4 (1996), 565–567; Differ. Equ., 32:4 (1996), 571–574
O. A. Repin, “On a nonlocal boundary value problem for the Euler–Poisson–Darboux equation”, Differ. Uravn., 31:1 (1995), 171–172; Differ. Equ., 31:1 (1995), 160–162
54.
O. A. Repin, “On non-local boundary value problem with M. Saigo type operator for the generalized Euler–Poisson–Darboux equation”, Matem. Mod., 7:5 (1995), 60
1994
55.
O. A. Repin, “A nonlocal boundary value problem for a degenerate hyperbolic
equation”, Dokl. Akad. Nauk, 335:3 (1994), 295–296; Dokl. Math., 49:2 (1994), 319–321
O. A. Repin, “A nonlocal boundary value problem for a parabolic-hyperbolic equation with a characteristic line of change of type”, Differ. Uravn., 28:1 (1992), 173–176
O. A. Repin, “A boundary value problem for an equation of moisture transfer”, Differ. Uravn., 26:1 (1990), 169–171
1986
58.
V. F. Volkodavov, O. A. Repin, “A problem in a strip for an equation of hyperbolic type with strong degeneracy”, Differ. Uravn., 22:8 (1986), 1442–1443
V. F. Volkodavov, O. A. Repin, “A boundary value problem for the Euler–Darboux equations with positive parameters”, Differ. Uravn., 18:7 (1982), 1275–1277
2010
60.
A. A. Andreev, M. T. Dzhenaliev, A. N. Zarubin, A. I. Kozhanov, E. I. Moiseev, A. M. Nakhushev, V. A. Nakhusheva, E. N. Ogorodnikov, A. V. Pskhu, L. S. Pulkina, N. R. Radjabov, V. P. Radchenko, E. V. Radkevich, O. A. Repin, K. B. Sabitov, A. P. Soldatov, “In Memory of Anatoliy A. Kilbas”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 5(21) (2010), 6–9