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1941, Issue 8  


On the 60-th birthday of S. N. Bernshtein
Sergei Natanovich Bernshtein (photo)
The mathematical works of S. N. Bernstein
R. O. Kuz'min
3

Surveys and Translations
Series of papers on partial differential equations of the elliptic type
On the first boundary value problem (Dirichlet's problem) for equations of the elliptic type and on the properties of functions satisfying such equations
S. N. Bernshtein, I. G. Petrovskii
8
On equations of calculus of variations
S. N. Bernshtein
32
On a geometric theorem and its applications to elliptic PDEs
S. N. Bernshtein
75
The proof of the Hilbert theorem on the analytical type of solutions of elliptic equations without using of normal series
S. N. Bernshtein
82
On the analyticity of the solutions of elliptic differential equations
H. Lewy
100
Perron's method for the solution of Dirichlet's problem
I. G. Petrovskii
107
Dirichlet's problem
L. A. Lyusternik
115
On difference equations of mathematical physics
R. Courant, K. Friedrichs, H. Lewy
125
New proof of the existence of a solution of Dirichlet's problem by the method of finite differences
I. G. Petrovskii
161
On the solubility and the stability of Dirichlet's problem
M. V. Keldysh
171
Solutions of linear partial differential equations of second-order of elliptic type
Willy Feller
232
On linear elliptic partial differential equations
E. E. Levi
249
Mathematics of the ancient Babylonians (end of the paper)
M. Ya. Vygodskii
293
Discrete infinite groups and their place in the general group theory
N. G. Chebotarev
336
Identity problem for groups with one defining relation
W. Magnus
365

Dmitrii Aleksandrovich Grave (photo)
Dmitrii Aleksandrovich Grave (1863–1939) (obituary)
L. A. Lyusternik
377
Valerii Ivanovich Glivenko (photo)
Valerii Ivanovich Glivenko (1897–1940) (obituary)
A. N. Kolmogorov
379
Ekaterina Alekseevna Naryshkina (photo)
Ekaterina Alekseevna Naryshkina (1895–1940) (obituary)
S. L. Sobolev
384

Bibliography
I. G. Petrovskii, Lectures on the theory of ordinary differential equations (review)
S. A. Khristianovich
386
È. Cartan, Integral invariants (review)
P. K. Rashevskii
386

Letter to the Editor
V. D. Kupradze
389
Успехи математических наук
 
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