Uspekhi Mat. Nauk, 1957, Volume 12, Issue 3(75)

JOURNALS // Uspekhi Matematicheskikh Nauk // Archive

1957, Volume 12, Issue 3(75)

	Discontinuous solutions of non-linear differential equations O. A. Oleinik	3
	On divergence of Fourier series P. L. Ul'yanov	75

Scientific notes and problems
	Modular ideals, radicals and semisimplicity of rings V. A. Andrunakievich	133
	Identical relations for binary Lie rings A. T. Gainov	141
	On continuous rotation of subspaces in a Banach space Yu. L. Daletskii	147
	On the spectrum of systems of the form $\{z^n+\lambda f_n{(z)}\}$ Yu. A. Kaz'min	155
	Elementary derivation of a necessary and sufficient condition for non-oscillation of the solutions of a linear differential equation of second order V. A. Kondrat'ev	159
	On the principle of limit amplitude O. A. Ladyzhenskaya	161
	New proof of a theorem on convergence of a sequence of Dirichlet polynomials A. F. Leont'ev	165
	A fix-point theorem O. V. Lokutsievskii	171
	On a class of generalized Dirichlet series G. L. Lunts	173
	On a statement of Academician A. A. Markov P. G. Rekhtman-Ol'shanskaya	181
	On a method of transforming a nonconvex polygonal line into a convex one Yu. G. Reshetnyak	189
	Affine tangential deformation of surfaces V. V. Ryzhkov	193
	The lattice of subgroups of a nilpotent torsion-free group L. E. Sadovskii	201
	On limit values of multiplicative integrals L. A. Sakhnovich	205
	On a connection between typically-real and univalent functions Sh. I. Strelitz	211
	Criteria of compactness in function spaces V. N. Sudakov	221
	Note on a theorem of S. M. Nikol'skii A. F. Timan	225
	On a class of analytic functions P. L. Ul'yanov	229
	Limit spaces A. S. Fedenko	235
	On the theorems of Poincaré and Perron G. A. Freiman	241

In the Moscow Mathematical Society
	Meetings of the Moscow Mathematical Society	247

Mathematical Events in the USSR
	Nikolai Pavlovich Romanov (photo)
	Nikolai Pavlovich Romanov (on the fiftieth anniversary of his birth) T. A. Sarymsakov, Yu. V. Linnik	251
	Department of Computational Mathematics at Moscow State University I. S. Berezin	255
	Seminar on Mathematical Analysis and Mechanics at the Rostov State University F. D. Gakhov	263
	L. S. Pontryagin Seminar on Mathematical Problems of Theory of Oscillations and Automatic Control R. V. Gamkrelidze	267
	Bureau Resolution of Joint Scientific and Methodological Seminar for Departments of Mathematics of Moscow Higher Technical Schools	273

Reviews and Bibliography
	N. M. Matveev, Methods of integration of ordinary differential equations (review) S. A. Gal'pern, R. S. Gusarova, A. F. Filippov	279

Letters to the Editor
	Letter to the Editor M. K. Fage	284
	To the Editor of UMN S. M. Nikol'skii	284

Scientific communications and problems (Appendix)
	Multidimensional systems $R$ R. M. Geidel'man	285
	On the modulus of continuity of periodic functions with a given modulus of smoothness I. E. Gopengauz, A. F. Timan	291
	On a false theorem of Daiovich N. A. Davydov	295
	Evaluation of the growth of a solution of an integral equation of Volterra type M. A. Evgrafov	297
	On the Fourier coefficients of functions of class $\widetilde H^1_2$ A. V. Efimov	303
	On the existence of a solution of a boundary-value problem for systems of ordinary linear differential equations L. N. Eshukov	313
	Variant of the proof of a theorem in the theory of continued fractions I. I. Zhogin	321
	Extremal problems in a class of entire functions of exponential type I. I. Ibragimov	323
	On completely regular spaces without complete uniform structures G. I. Kats	329
	On Bari bases of a Hilbert space M. G. Krein	333
	On conditions for existence of a Kolmogorov integral and the concept of differential equivalence L. Ya. Leifman	343
	Operator properties of polynomials of best approximation V. N. Nikol'skii	353
	On an axiom of triangle congruence in weakened form D. L. Pikus	359
	An example of a closed surface with singular point, having a countable fundamental system of infinitesimal deformations È. G. Poznyak	363
	The problem of Cauchy for a partial integro-differential equation in unbounded space M. I. Rozovskii	369
	On an iterative method for calculation of eigenvalues I. M. Sobol'	377
	On two classes of methods of summation for divergent series A. S. Sokolin	381
	On the problem of Cauchy–Kovalevski for certain partial differential equations V. R. Fridlender	385
	Some theorems on limit cycles for the equation of Liénard M. G. Khudai-Verenov	389