Petrovskii Ivan Georgievich

Publications in Math-Net.Ru

1. Some complements to the articles of O. Perron and L. A. Ljusternik on the Dirichlet problem
   
   Uspekhi Mat. Nauk, 25:4(154) (1970),  23–28
2. On the number of limit cycles of equation $\frac{dy}{dx}=\frac{P(x,y)}{Q(x,y)}$, in which $P$ and $Q$ are polynomials of degree $n$
   
   Dokl. Akad. Nauk SSSR, 113:4 (1957),  748–751
3. On the number of limit cycles of the equation $\dfrac{dy}{dx}=\dfrac{P(x,y)}{Q(x,y)}$, where $P$ and $Q$ are polynomials
   
   Mat. Sb. (N.S.), 43(85):2 (1957),  149–168
4. Some remarks on my papers on the problem of Cauchy
   
   Mat. Sb. (N.S.), 39(81):2 (1956),  267–272
5. On the number of limit cycles of the equation $\dfrac{dy}{dx}=\dfrac{P(x,y)}{Q(x,y)}$, where $P$ and $Q$ are polynomials of 2nd degree
   
   Mat. Sb. (N.S.), 37(79):2 (1955),  209–250
6. On the curves and two-dimensional surfaces along which a solution of the wave equation can have a discontinuity
   
   Uspekhi Mat. Nauk, 9:3(61) (1954),  175–180
7. On the topology of real algebraic surfaces
   
   Izv. Akad. Nauk SSSR Ser. Mat., 13:5 (1949),  389–402
8. On the diffusion of waves and the lacunas for hyperbolic equations
   
   Rec. Math. [Mat. Sbornik] N.S., 17(59):3 (1945),  289–370
9. Sur la diffusion des оndes et les lacunes pour les systèmes d'équations hyperbcliques
   
   Izv. Akad. Nauk SSSR Ser. Mat., 8:3 (1944),  101–106
10. New proof of the existence of a solution of Dirichlet's problem by the method of finite differences
    
    Uspekhi Mat. Nauk, 1941, no. 8,  161–170
11. Perron's method for the solution of Dirichlet's problem
    
    Uspekhi Mat. Nauk, 1941, no. 8,  107–114
12. On the first boundary value problem (Dirichlet's problem) for equations of the elliptic type and on the properties of functions satisfying such equations
    
    Uspekhi Mat. Nauk, 1941, no. 8,  8–31
13. Sur l'analyticité des solutions des systèmes d'équations différentielles
    
    Rec. Math. [Mat. Sbornik] N.S., 5(47):1 (1939),  3–70
14. On the Cauchy problem in a domain of non-analytic functions
    
    Uspekhi Mat. Nauk, 1937, no. 3,  234–238
15. Über das Cauchysche Problem für Systeme von partiellen Differentialgleichungen
    
    Rec. Math. [Mat. Sbornik] N.S., 2(44):5 (1937),  815–870
16. Über das Verhalten der Integralkurven eines Systems gewöhnlicher Differentialgleichungen in der Nähe eines singulären Punktes
    
    Mat. Sb., 41:1 (1934),  107–156
17. Sur l'unicité de la fonction primitive par rapport à une fonction continue arbitraire
    
    Mat. Sb., 41:1 (1934),  48–59
18. Einige Bemerkungen zu den Arbeiten von Herren O. Perron und L. A. Lusternik über das Dirichlet'sche Problem
    
    Mat. Sb., 35:1 (1928),  105–110


19. Mikhail Alekseevich Lavrent'ev (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 25:6(156) (1970),  3–8
20. Lazar' Aronovich Lyusternik (on the occasion of his seventieth birthday)
    
    Uspekhi Mat. Nauk, 25:4(154) (1970),  3–10
21. Il'ya Nestorovich Vekua (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 22:5(137) (1967),  185–195
22. Letter to the Editors
    
    Mat. Sb. (N.S.), 73(115):1 (1967),  160
23. S. N. Bernshtein's contribution to the theory of partial differential equations
    
    Uspekhi Mat. Nauk, 16:2(98) (1961),  5–20
24. Corrections to the articles "On the number of limit cycles of the equations $\dfrac{dy}{dx}=\dfrac{P(x,y)}{Q(x,y)}$, where $P$ and $Q$ are polynomials of $2$nd degree" and "On the number of limit cycles of the equation $\dfrac{dy}{dx}=\dfrac{P(x,y)}{Q(x,y)}$, where $P$ and $Q$ are polynomials"
    
    Mat. Sb. (N.S.), 48(90):2 (1959),  253–255
25. Tenth School Mathematical Competition in Moscow
    
    Uspekhi Mat. Nauk, 2:6(22) (1947),  243–247
26. On some problems of the theory of partial differential equations
    
    Uspekhi Mat. Nauk, 1:3-4(13-14) (1946),  44–70
27. R. Соurant und D. Hilbert, Methoden der mathematischen Physik, Bd. II (review)
    
    Uspekhi Mat. Nauk, 1940, no. 7,  329–331
28. On work of academician Jacques Hadamard in partial differential equations
    
    Uspekhi Mat. Nauk, 1936, no. 2,  82–91
29. Nachtrag zu meiner Arbeit “Über das Verhalten der Integralkurven eines Systems gewöhnlicher Differentialgleichungen in der Nähe eines singulären Punktes”
    
    Mat. Sb., 42:3 (1935),  403