Shestakov Alexander Andreevich

Publications in Math-Net.Ru

1. Generalized direct Lyapunov method for the analysis of stability and attraction in general time systems
   
   Mat. Sb., 193:10 (2002),  17–48
2. 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
3. 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
4. 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
5. On the boundedness of solutions of nonlinear systems of differential equations relatively to a part of variables
   
   Mat. Model., 7:5 (1995),  84
6. Asymptotic properties of solutions of nonautonomous functional-differential equations
   
   Differ. Uravn., 26:8 (1990),  1351–1358
7. 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. 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. 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
10. The relative stability of the zero solution of an autonomous functional-differential equation of delaying type
    
    Differ. Uravn., 22:11 (1986),  1922–1928
11. 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. Determination of the general solution of differential equations
    
    Differ. Uravn., 22:5 (1986),  802–812
13. 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. On the nature of a continuous dynamic flow near an invariant compact
    
    Differ. Uravn., 18:5 (1982),  845–855
15. A method for calculating two-dimensional problems of heat conductivity on nonorthogonal grids
    
    Zh. Vychisl. Mat. Mat. Fiz., 22:2 (1982),  339–347
16. Localization of the limit set in a nonautonomous differential system by means of Lyapunov functions
    
    Differ. Uravn., 17:11 (1981),  2017–2028
17. Localization of the cluster set of a solution with a bounded interval of definition
    
    Differ. Uravn., 17:8 (1981),  1515–1517
18. 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
19. Convergence of solutions in nonautonomous differential systems
    
    Differ. Uravn., 16:3 (1980),  424–432
20. Examples of Ljapunov unstable points of positive attraction
    
    Differ. Uravn., 15:6 (1979),  1028–1035
21. Ljapunov stability and attracting sets relative to a nonautonomous differential system
    
    Differ. Uravn., 15:5 (1979),  815–827
22. 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
23. On the relation between the Lyapunov exponents of a homogeneous and quasi-homogeneous system
    
    Dokl. Akad. Nauk SSSR, 239:1 (1978),  63–66
24. Criteria for the stability of sets with respect to a nonautonomous differential system
    
    Differ. Uravn., 13:6 (1977),  1079–1090
25. Tests for the instability of a set with respect to a nonautonomous differential system
    
    Differ. Uravn., 13:5 (1977),  958–960
26. The power asymptotic behavior of a nonautonomous homogeneous and quasihomogeneous system
    
    Differ. Uravn., 11:8 (1975),  1427–1436
27. 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
28. 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
29. 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. The extension of Bendixson's method for a two-dimensional system to multidimensional analytic system
    
    Differ. Uravn., 6:9 (1970),  1708–1712
31. 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
32. 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
33. 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. 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
35. О периодических непрерывных дробях
    
    Uchenye Zapiski Kazanskogo Universiteta, 109:3 (1949),  87–98


36. Valentin Vital'evich Rumyantsev (A tribute in honor of his 80th birthday)
    
    Differ. Uravn., 37:12 (2001),  1587–1592
37. Abdel’khak Safiullovich Galiullin
    
    Differ. Uravn., 36:3 (2000),  427–428
38. Abdel'khak Safiullovich Galiullin (on the occasion of his 70th birthday)
    
    Differ. Uravn., 26:2 (1990),  361–362
39. 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
40. Abdel'hak Safiullovič Galiullin (on the occasion of his sixtieth birthday)
    
    Differ. Uravn., 16:5 (1980),  950–954