Российский госуд. открытый технический ун-т путей сообщения (РГОТУПС)
Main publications:
Ustoichivost dvizheniya: metod predelnykh uravnenii / A. A. Martynyuk, D. Kato, A. A. Shestakov; AN USSR, In-t mekhaniki. - Kiev : Nauk. dumka, 1990. - 255 s.; ISBN 5-12-001310-4
Teoriya ustoichivosti : (Pryamoi metod Lyapunova dlya beskonechnomer. dinam. protsessov) : Kurs lektsii / A. A. Shestakov. - Saransk : Izd-vo Mordov. un-ta, 1991. - 62 s.; ISBN 5-7103-0043-8
Diskretnaya matematika : Ucheb. posobie / A. A. Shestakov, O. V. Dunaeva; MPS Rossii. Ros. gos. otkrytyi tekhn. un-t putei soobscheniya. - Moskva : RGOTUPS, 1998
Obobschennyi pryamoi metod Lyapunova dlya sistem s raspredelennymi parametrami / A. A. Shestakov. - 2-e izd., dop. - Moskva : URSS, 2007 (M. : LENAND). - 318 s.; ISBN 5-484-00913-8
O. V. Druzhinina, A. A. Shestakov, “Generalized direct Lyapunov method for the analysis of stability and attraction in general time systems”, Mat. Sb., 193:10 (2002), 17–48; Sb. Math., 193:10 (2002), 1411–1441
O. V. Druzhinina, A. A. Shestakov, “On the instability of an equilibrium state with respect to the first approximation of a stationary nonlinear equation in a Hilbert space”, Differ. Uravn., 35:6 (1999), 840; Differ. Equ., 35:6 (1999), 846–847
O. V. Dunaeva, A. A. Shestakov, “Phase asymptotic stability of an omega-limit set of
Lagrange-stable motion of a nonlinear time-independent dynamical system”, Dokl. Akad. Nauk, 351:3 (1996), 332–334; Dokl. Math., 41:11 (1996), 559–561
4.
O. V. Dunaeva, A. A. Shestakov, “On a connection between Lyapunov stability and Poincaré
stability for motions of a nonlinear time-independent dynamical system”, Dokl. Akad. Nauk, 351:1 (1996), 48–51; Dokl. Math., 41:11 (1996), 536–539
A. A. Shestakov, E. V. Shchennikova, “On the boundedness of solutions of nonlinear systems of differential equations relatively to a part of variables”, Matem. Mod., 7:5 (1995), 84
1990
6.
A. A. Shestakov, Yu. N. Merenkov, M. M. Shatokhin, “Asymptotic properties of solutions of nonautonomous functional-differential equations”, Differ. Uravn., 26:8 (1990), 1351–1358; Differ. Equ., 26:8 (1990), 991–997
1987
7.
A. A. Shestakov, “Generalized direct Lyapunov method for abstract semidynamic processes. III. Localization of the limit set of compact dispersible semidynamic processes. Applications to evolution equations”, Differ. Uravn., 23:6 (1987), 923–936
8.
A. A. Shestakov, “Generalized direct Lyapunov method for abstract semidynamic processes. II. Localization of the limit set of compact semidynamic processes. Applications to partial differential equations”, Differ. Uravn., 23:3 (1987), 371–387
9.
A. A. Shestakov, “On the localization of the limit set of the solutions of an evolution equation by means of Lyapunov functionals”, Differ. Uravn., 23:2 (1987), 358–361
1986
10.
A. A. Shestakov, M. M. Shatokhin, “The relative stability of the zero solution of an autonomous functional-differential equation of delaying type”, Differ. Uravn., 22:11 (1986), 1922–1928
11.
A. A. Shestakov, “Generalized direct Lyapunov method for abstract semidynamic processes. I. Semidynamic processes as semidynamical systems. Localization of the limit set of autonomous and asymptotically autonomous semidynamic processes”, Differ. Uravn., 22:9 (1986), 1475–1490
12.
A. A. Shestakov, Yu. N. Merenkov, “Determination of the general solution of differential equations”, Differ. Uravn., 22:5 (1986), 802–812
1982
13.
A. A. Shestakov, “Theory and applications of the generalized Lyapunov direct method for abstract dynamical systems (a survey of the current state of the geometric direction in Lyapunov)”, Differ. Uravn., 18:12 (1982), 2069–2097
14.
A. A. Shestakov, Yu. N. Merenkov, “On the nature of a continuous dynamic flow near an invariant compact”, Differ. Uravn., 18:5 (1982), 845–855
15.
A. D. Gadzhiev, V. N. Pisarev, A. A. Shestakov, “A method for calculating two-dimensional problems of heat conductivity on nonorthogonal grids”, Zh. Vychisl. Mat. Mat. Fiz., 22:2 (1982), 339–347; U.S.S.R. Comput. Math. Math. Phys., 22:2 (1982), 91–100
A. A. Shestakov, Yu. N. Merenkov, “Localization of the limit set in a nonautonomous differential system by means of Lyapunov functions”, Differ. Uravn., 17:11 (1981), 2017–2028
17.
A. A. Shestakov, Yu. N. Merenkov, “Localization of the cluster set of a solution with a bounded interval of definition”, Differ. Uravn., 17:8 (1981), 1515–1517
18.
A. A. Shestakov, Yu. N. Merenkov, “On the attraction of the trajectories of a differential system by the zero set of a majorant of a Lyapunov function”, Izv. Vyssh. Uchebn. Zaved. Mat., 1981, no. 8, 55–59; Soviet Math. (Iz. VUZ), 25:8 (1981), 55–59
1980
19.
I. A. Malysheva, A. A. Shestakov, “Convergence of solutions in nonautonomous differential systems”, Differ. Uravn., 16:3 (1980), 424–432
1979
20.
A. A. Shestakov, Yu. N. Merenkov, “Examples of Ljapunov unstable points of positive attraction”, Differ. Uravn., 15:6 (1979), 1028–1035
21.
A. A. Shestakov, Yu. N. Merenkov, “Ljapunov stability and attracting sets relative to a nonautonomous differential system”, Differ. Uravn., 15:5 (1979), 815–827
22.
A. A. Shestakov, A. N. Stepanov, “Index and divergence criteria for the stability of a singular point of an autonomous system of differential equations”, Differ. Uravn., 15:4 (1979), 650–661
Sh. R. Sharipov, A. A. Shestakov, “On the relation between the Lyapunov exponents of a homogeneous and quasi-homogeneous system”, Dokl. Akad. Nauk SSSR, 239:1 (1978), 63–66
1977
24.
A. A. Shestakov, “Criteria for the stability of sets with respect to a nonautonomous differential system”, Differ. Uravn., 13:6 (1977), 1079–1090
25.
A. A. Shestakov, “Tests for the instability of a set with respect to a nonautonomous differential system”, Differ. Uravn., 13:5 (1977), 958–960
1975
26.
A. A. Shestakov, “The power asymptotic behavior of a nonautonomous homogeneous and quasihomogeneous system”, Differ. Uravn., 11:8 (1975), 1427–1436
A. A. Shestakov, “The study by the generalized Briot–Bouquet method of the properties of solutions near singular initial values of a nonautonomous differential system”, Differ. Uravn., 11:3 (1975), 470–483
1971
28.
A. A. Shestakov, “A criterion for uniform asymptotic stability with respect to a non-autonomous homogeneous approximation of order $m\geq 1$”, Differ. Uravn., 7:5 (1971), 937–940
1970
29.
A. A. Shestakov, “Power asymptotics of order $p<0$ of the solutions of a nonautonomous differential system with a singular point of higher order”, Differ. Uravn., 6:11 (1970), 2101–2104
30.
A. A. Shestakov, “The extension of Bendixson's method for a two-dimensional system to multidimensional analytic system”, Differ. Uravn., 6:9 (1970), 1708–1712
1961
31.
A. A. Shestakov, “Asymptotic behavior of solutions of a higher-dimensional system of differential equations having a singularity of higher order”, Sibirsk. Mat. Zh., 2:5 (1961), 767–788
1960
32.
A. A. Shestakov, “Asymptotic behavior of solutions of multidimensional systems of ordinary differential equations with a singular point of higher order”, Dokl. Akad. Nauk SSSR, 131:5 (1960), 1038–1041
1959
33.
A. A. Shestakov, “Existence theorems for integral and critical straight lines of a homogeneous system of $n$ differential equations $(n\ge 3)$”, Uspekhi Mat. Nauk, 14:1(85) (1959), 245–248
34.
A. V. Pkhakadze, A. A. Shestakov, “On the classification of the singlar points of a first order differential equation not solved for the derivative”, Mat. Sb. (N.S.), 49(91):1 (1959), 3–12
A. A. Shestakov, “О периодических непрерывных дробях”, Uchenye Zapiski Kazanskogo Universiteta, 109:3 (1949), 87–98
2001
36.
I. A. Gerasimov, E. A. Grebenikov, O. V. Druzhinina, V. A. Il'in, V. V. Kozlov, V. M. Matrosov, R. G. Mukharlyamov, V. M. Savchin, A. A. Samarskii, V. N. Tkhai, A. A. Shestakov, V. N. Shchennikov, “Valentin Vital'evich Rumyantsev (A tribute in honor of his 80th birthday)”, Differ. Uravn., 37:12 (2001), 1587–1592; Differ. Equ., 37:12 (2001), 1665–1669
2000
37.
V. G. Veretennikov, I. A. Mukhametzyanov, R. G. Mukharlyamov, V. V. Rumyantsev, V. M. Savchin, V. M. Filippov, A. A. Shestakov, “Abdel’khak Safiullovich Galiullin”, Differ. Uravn., 36:3 (2000), 427–428; Differ. Equ., 36:3 (2000), 483–484
1990
38.
N. P. Erugin, V. G. Demin, R. G. Mukharlyamov, V. G. Veretennikov, A. A. Shestakov, V. M. Savchin, “Abdel'khak Safiullovich Galiullin (on the occasion of his 70th birthday)”, Differ. Uravn., 26:2 (1990), 361–362
1987
39.
A. A. Shestakov, “Letter to the editor: “On the localization of the limit set of the solutions of an evolution equation by means of Lyapunov functionals””, Differ. Uravn., 23:7 (1987), 1283
1980
40.
N. P. Erugin, A. A. Shestakov, V. G. Demin, V. G. Veretennikov, I. A. Mukhametzyanov, R. G. Mukharlyamov, “Abdel'hak Safiullovič Galiullin (on the occasion of his sixtieth birthday)”, Differ. Uravn., 16:5 (1980), 950–954
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