hyperbolic equations; boundary value problems; nonlocal conditions; loaded equations.
Subject:
Well-posedness of certain nonlocal problems with integral conditions for hyperbolic equations is proved. Sufficient conditions for the existence and uniqueness of generalized solutions to nonlocal problems for linear, quasilinear and loaded hyperbolic equations in function Sobolev type spaces are obtained.
Biography
Graduated from the Gorky State University, faculty of Mathematics and mechanics, dept. of differential equations.
Main publications:
L. S. Pulkina, “Nelokalnaya zadacha s integralnymi usloviyami dlya kvazilineinogo giperbolicheskogo uravneniya”, Matem. zametki, 70:1 (2001), 88–95; Math. Notes, 70:1 (2001), 79–85
L. S. Pulkina, “O razreshimosti v $L_2$ nelokalnoi zadachi s integralnymi usloviyami dlya giperbolicheskogo uravneniya”, Differ. uravn., 36:2 (2000), 279–280; L. S. Pulkina, “The $L_2$ solvability of a nonlocal problem with integral conditions for a hyperbolic equation”, Differ. Equ., 36:2 (2000), 316–318
L. S. Pulkina, “Kraevye zadachi dlya giperbolicheskogo uravneniya s nelokalnymi usloviyami I i II roda”, Izv. vuzov. Matem., 2012, № 4, 74–83; Russian Math. (Iz. VUZ), 56:4 (2012), 62–69
L. S. Pulkina, “A problem with nonlocal integral 1st kind conditions for 4th order partial differential equation”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 30:2 (2024), 30–44
2022
2.
A. B. Beylin, A. V. Bogatov, L. S. Pulkina, “A problem with nonlocal conditions for a one-dimensional parabolic equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 26:2 (2022), 380–395
A. V. Bogatov, L. S. Pulkina, “On solvability of the inverse problem for the one-dimensional parabolic equation with unknown time-dependent coefficient under integral observation”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 28:3-4 (2022), 7–17
4.
A. V. Bogatov, A. V. Gilev, L. S. Pulkina, “A problem with a non-local condition for a fourth-order equation with multiple characteristics”, Russian Universities Reports. Mathematics, 27:139 (2022), 214–230
A. V. Gilev, O. M. Kechina, L. S. Pulkina, “Characteristic problem for a fourth-order equation with a dominant derivative”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 27:3 (2021), 14–21
E. Providas, L. S. Pulkina, I. N. Parasidis, “Factorization of ordinary and hyperbolic integro-differential equations with integral boundary conditions in a Banach space”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 27:1 (2021), 29–43
2020
7.
A. B. Beylin, L. S. Pulkina, “A problem with dynamical boundary condition for a one-dimensional hyperbolic equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 24:3 (2020), 407–423
L. S. Pulkina, V. A. Kirichek, “Solvability of a nonlocal problem for a hyperbolic equation with degenerate integral conditions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 23:2 (2019), 229–245
A. B. Beylin, L. S. Pulkina, “A problem on longitudinal vibration in a short bar with dynamical boundary conditions”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 2017, no. 4, 7–18
A. B. Beylin, L. S. Pulkina, “A problem on vibration of a bar with unknown boundary condition on a part of the boundary”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 2017, no. 2, 7–14
V. A. Kirichek, L. S. Pulkina, “Problem with dynamic boundary conditions for a hyperbolic equation”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 2017, no. 1, 21–27
L. S. Pul'kina, A. E. Savenkova, “A problem with a nonlocal with respect to time condition for multidimensional hyperbolic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 10, 41–52; Russian Math. (Iz. VUZ), 60:10 (2016), 33–43
L. S. Pulkina, A. E. Savenkova, “A problem with nonlocal integral condition of the second kind for one-dimensional hyperbolic equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 20:2 (2016), 276–289
L. S. Pulkina, A. E. Savenkova, “A problem with second kind integral conditions for hyperbolic equation”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 2016, no. 1-2, 33–45
A. B. Beylin, L. S. Pulkina, “Problem on vibration of a bar with nonlinear second-order boundary damping”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2015, no. 3(125), 9–20
S. V. Kirichenko, L. S. Pul'kina, “A problem with nonlocal initial data for one-dimensional hyperbolic equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 9, 17–26; Russian Math. (Iz. VUZ), 58:9 (2014), 13–21
A. B. Beylin, L. S. Pulkina, “Task on longitudinal vibrations of a rod with dynamic boundary conditions”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2014, no. 3(114), 9–19
L. S. Pul'kina, “A nonlocal problem for a hyperbolic equation with integral conditions of the 1st kind with time-dependent kernels”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 10, 32–44; Russian Math. (Iz. VUZ), 56:10 (2012), 26–37
L. S. Pul'kina, “Boundary value problems for a hyperbolic equation with nonlocal conditions of the I and II kind”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 4, 74–83; Russian Math. (Iz. VUZ), 56:4 (2012), 62–69
L. S. Pulkina, “A nonlocal problem with integral conditions for hyperbolic equation”, Nanosystems: Physics, Chemistry, Mathematics, 2:4 (2011), 61–70
23.
L. S. Pulkina, M. V. Strigun, “Two initial-boundary value problems with nonlineal boundary conditions for one-dimension hyperbolic equation”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011, no. 2(83), 46–56
2010
24.
L. S. Pulkina, A. V. Dyuzheva, “Nonlocal problem with time-dependent Steklov's boundary conditions
for hyperbolic equation”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010, no. 4(78), 56–64
L. S. Pulkina, O. M. Kechina, “Non-local problem with integral conditions for hyperbolic equation in characteristic rectangle”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2009, no. 2(68), 80–88
A. I. Kozhanov, L. S. Pulkina, “On the solvability of boundary value problems with a nonlocal boundary condition of integral form for multidimensional hyperbolic equations”, Differ. Uravn., 42:9 (2006), 1166–1179; Differ. Equ., 42:9 (2006), 1233–1246
L. S. Pulkina, E. N. Klimova, “A nonlocal boundary value problem for a nonlinaer one dimensional ware equation”, Matem. Mod. Kraev. Zadachi, 3 (2006), 192–195
L. S. Pulkina, “Îá îäíîì êëàññå íåëîêàëüíûõ çàäà÷ è èõ ñâÿçè ñ îáðàòíûìè çàäà÷àìè”, Matem. Mod. Kraev. Zadachi, 3 (2006), 190–192
2004
29.
L. S. Pulkina, “A Nonlocal Problem with Integral Conditions for a Hyperbolic Equation”, Differ. Uravn., 40:7 (2004), 887–892; Differ. Equ., 40:7 (2004), 947–953
L. S. Pulkina, “A Mixed Problem with Integral Condition for the Hyperbolic Equation”, Mat. Zametki, 74:3 (2003), 435–445; Math. Notes, 74:3 (2003), 411–421
L. S. Pulkina, “A Nonlocal Problem for a Loaded Hyperbolic Equation”, Trudy Mat. Inst. Steklova, 236 (2002), 298–303; Proc. Steklov Inst. Math., 236 (2002), 285–290
L. S. Pulkina, “A Nonlocal Problem with Integral Conditions for the Quasilinear Hyperbolic Equation”, Mat. Zametki, 70:1 (2001), 88–95; Math. Notes, 70:1 (2001), 79–85
L. S. Pulkina, “The $L_2$ solvability of a nonlocal problem with integral conditions for a hyperbolic equation”, Differ. Uravn., 36:2 (2000), 279–280; Differ. Equ., 36:2 (2000), 316–318
I. V. Astashova, L. S. Pulkina, “Vladimir Alexandrovich Kondratiev (on the 80 anniversary from the date of birth)”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2015, no. 6(128), 9–11
2010
38.
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
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