01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
08.02.1953
E-mail:
, ,
Keywords:
functional differential equations; boundary value problems at resonance; steady properties; operator equations.
Main publications:
Abdullaev A. R. O razreshimosti kraevykh zadach s lipshitsievymi nelineinostyami // Differents. uravneniya, 1989, 25(11), 1843–1848.
Abdullaev A. R., Burmistrova A. B. Vvedenie v teoriyu topologicheski neterovykh operatorov. Chelyabinsk: ChelGU, 1994, 93 s.
Abdullaev A. R., Burmistrova A. B. Ob odnoi skheme issledovaniya na razreshimost rezonansnykh kraevykh zadach // Izvestiya vuzov. Matematika, 1996, # 11, 14–22.
A. R. Abdullaev, A. A. Savochkina, “On the periodic solutions of the Lienard equation”, Appl. Math. Control Sci., 2020, no. 1, 7–19
2017
2.
A. R. Abdullaev, E. A. Skachkova, “On one class of multipoint boundary-value problems for a second-order linear functional-differential equation”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 132 (2017), 3–6; J. Math. Sci. (N. Y.), 230:5 (2018), 647–650
A. R. Abdullaev, I. M. Plaksina, “An estimate of spectral radius of one singular integral operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 2, 3–9; Russian Math. (Iz. VUZ), 59:2 (2015), 1–6
A. R. Abdullaev, E. A. Skachkova, “A periodic boundary value problem for a fourth-order differential equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 12, 3–10; Russian Math. (Iz. VUZ), 57:12 (2013), 1–7
A. R. Abdullaev, N. A. Bragina, “Green operator with minimal norm”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 4, 3–7; Russian Math. (Iz. VUZ), 47:4 (2003), 1–5
1996
6.
A. R. Abdullaev, A. B. Burmistrova, “On a scheme for investigating the solvability of resonance boundary value problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 11, 14–22; Russian Math. (Iz. VUZ), 40:11 (1996), 12–20
A. R. Abdullaev, A. B. Burmistrova, “A generalized Green operator and solvability of resonance problems”, Differ. Uravn., 26:11 (1990), 1860–1864; Differ. Equ., 26:11 (1990), 1374–1377
A. R. Abdullaev, A. B. Burmistrova, “On the solvability of boundary value problems in the resonance case”, Differ. Uravn., 25:12 (1989), 2044–2048; Differ. Equ., 25:12 (1989), 1439–1442
10.
A. R. Abdullaev, “Solvability of boundary value problems for functional-differential equations with Lipschitz nonlinearities”, Differ. Uravn., 25:11 (1989), 1843–1848; Differ. Equ., 25:11 (1989), 1283–1287
1983
11.
A. R. Abdullaev, “On the question of a functional-differential equation with an internal superposition operator”, Differ. Uravn., 19:5 (1983), 777–782