Andreev Aleksei Fedorovich

Publications in Math-Net.Ru

1. Qualitative research in the Poincaré circle of one family of dynamical systems
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 185 (2020),  19–27
2. The Center-Focus Problem for a System with Homogeneous Nonlinearities in the Case of Zero Eigenvalues of the Linear Part
   
   Differ. Uravn., 39:2 (2003),  147–153
3. On limit and separatrix cycles of a quasiquadratic system
   
   Differ. Uravn., 33:5 (1997),  700–701
4. On the limit behavior of $O$-curves of a quasihomogeneous $\mathbf R^3$-system
   
   Differ. Uravn., 29:9 (1993),  1475–1480
5. Justification of Frommer's method for systems of class $C^\infty$
   
   Differ. Uravn., 27:4 (1991),  562–572
6. Investigation of the problem of the center and focus in one case
   
   Differ. Uravn., 20:2 (1984),  187–197
7. A system with one zero root of the characteristic equation
   
   Differ. Uravn., 13:5 (1977),  944–946
8. The behavior of the trajectories of a homogeneous system in the neighborhood of an invariant cone
   
   Differ. Uravn., 10:7 (1974),  1168–1172
9. The exceptional direction of an $n$th order system at a stationary point
   
   Differ. Uravn., 10:2 (1974),  187–194
10. On the distinguishing problem for $N_2$ in $R^n$
    
    Differ. Uravn., 9:5 (1973),  791–796
11. Representations of the $TO$-solutions of the equation $X(x,y)dy=Y(x,y)dx$
    
    Differ. Uravn., 8:10 (1972),  1723–1737
12. A theorem on the uniqueness of the $O$-curve in $N_2$ under conditions of the type of the Osgood condition
    
    Differ. Uravn., 6:11 (1970),  2080–2082
13. The local diagram of an equilibrium state
    
    Differ. Uravn., 6:4 (1970),  677–686
14. The number of Frommer substitutions sufficient to reveal all ${\rm TO}$-curves of the equation $X(x,\,y)\,dy=Y(x,\,y)\,dx$
    
    Differ. Uravn., 4:9 (1968),  1560–1573
15. On the number of operations used in Frommer's method for investigation of a singular point of a differential equation
    
    Differ. Uravn., 1:9 (1965),  1155–1176
16. Remarks on a paper of S. Lefschetz
    
    Differ. Uravn., 1:2 (1965),  199–203
17. On a Hartman-Wintner problem
    
    Differ. Uravn., 1:1 (1965),  33–40
18. A sharpening of the uniqueness theorem for an $O$-curve in $N_2$
    
    Dokl. Akad. Nauk SSSR, 146:1 (1962),  9–10
19. A uniqueness theorem for a normal Frommer region of second type
    
    Dokl. Akad. Nauk SSSR, 142:4 (1962),  754–757
20. On continuous dependence of the solution of a Cauchy problem on the initial data
    
    Uspekhi Mat. Nauk, 13:3(81) (1958),  165–166


21. In memory of Sergei Petrovich Kapitza
    
    UFN, 182:11 (2012),  1245–1246
22. Nikolaǐ Pavlovich Erugin (on the ninetieth anniversary of his birth)
    
    Differ. Uravn., 33:5 (1997),  579–582
23. Konstantin Sergeevich Sibirskiǐ
    
    Differ. Uravn., 26:6 (1990),  1098–1100
24. Yuriǐ Stanislavovich Bogdanov
    
    Differ. Uravn., 24:6 (1988),  1091–1097
25. Поправки к статье "Усиление теоремы единственности $O$-кривой в $N_2$" (ДАН, т. 146, № 1, 1962 г.)
    
    Dokl. Akad. Nauk SSSR, 151:4 (1963),  750