Boundary value problems and boundary control problems for non-local both strictly and weakly hyperbolic equations
Main publications:
Attaev A.K., “Boundary Control Problem for a Loaded String Vibration Equation”, Differential Equations, 56:5 (2020), 635–640
Attaev A.Kh., “On a Characteristic Problem for a Loaded Hyperbolic Equation”, Bulletin of the Karaganda University. Mathematics Series, 2019, no. 4 (96), 15-21
A. Kh. Attaev, “The Goursat problem for a locally loaded equation with a power-law parabolic degeneracy of the second order”, Adyghe Int. Sci. J., 24:4 (2024), 13–18
2.
A. Kh. Attaev, “Problem with data on parallel characteristics for the loaded wave equation”, News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences, 26:6 (2024), 13–18
2023
3.
A. Kh. Attaev, “The Cauchay problem for a loaded partial differential equation of the first order”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 44:3 (2023), 9–18
2022
4.
A. Kh. Attaev, “On a nonlocal boundary value problem for a model hyperbolic nonlocal equations”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 40:3 (2022), 7–15
A. Kh. Attaev, “Cauchy problem for a substantially loaded hyperbolic equation”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 37:4 (2021), 10–15
2019
7.
A. H. Attaev, “Boundary control problem for one degenerate hiberbolic equation”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 29:4 (2019), 19–27
2018
8.
A. H. Attaev, “To the question of solvability of the Cauchy problem for one loaded hyperbolic equation of the second order”, News of the Kabardin-Balkar scientific center of RAS, 2018, no. 6-1, 5–9
A. H. Attaev, “The characteristic problem for the second-order hyperbolic equation loaded along one of its characteristics”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, no. 3(23), 14–18
2016
10.
A. H. Attaev, “On some problems for loaded partial differential equation of the first order”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016, no. 4-1(16), 9–14
A. H. Attaev, “Goursat problem for loaded degenerate second order hyperbolic equation with Gellerstedt operator in principal part”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 20:1 (2016), 7–21
A. H. Attaev, “Characteristic problem for the loaded wave equation with specific changes”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2015, no. 2(11), 7–12; Bulletin KRASEC. Phys. & Math. Sci., 11:2 (2015), 5–10
2010
13.
A. H. Attaev, “Задача Гурса с нормальной производной для нагруженного строго гиперболического уравнения”, Matem. Mod. Kraev. Zadachi, 3 (2010), 33–34
2006
14.
A. H. Attaev, “Нагруженное волновое уравнение с граничным управлением на двух концах”, Matem. Mod. Kraev. Zadachi, 3 (2006), 54–56
2004
15.
A. H. Attaev, “К вопросу разрешимости задачи трикоми для модельного уравнения смешанного типа с одинаковым порядком вырождения типа и нагрузки”, Matem. Mod. Kraev. Zadachi, 3 (2004), 23–26