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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1984, Volume 166

| General information | Contents |


Modern problems of mathematics. Differential equations, mathematical analysis and their applications


Collection of articles. Dedicated to academician L. S. Pontryagin on the occasion of his 75th birthday

The mathematical work of L. S. Pontryagin
D. V. Anosov, R. V. Gamkrelidze, E. F. Mishchenko, M. M. Postnikov
3
Numerical solution of problems with nonsmooth data and interpolation theorems
N. S. Bakhvalov
18
The maximum principle for differential inclusions
V. I. Blagodatskikh
23
The Blaschke product in the “generalized unit disc” and a complete orthonormal system in the future tube
V. S. Vladimirov
44
The rate of rational approximation of analytic functions
A. A. Gonchar
52
The problem of pursuit by several objects
N. L. Grigorenko
61
Uniform stabilization of the solution of the Cauchy problem for a second-order hyperbolic equation
A. K. Gushchin, V. P. Mikhailov
76
Sharp estimates in Hölder spaces and the exact Saint-Venant principle for solutions of the biharmonic equation
V. A. Kondrat'ev, J. Kopáček, D. M. Lekveishvili, O. A. Oleinik
91
Decompositions of classical Lie algebras
A. I. Kostrikin, I. A. Kostrikin, V. A. Ufnarovskii
107
The environment and optimization problems
G. I. Marchuk
123
Pontryagin's duality principle for calculation of an effect of Cherenkov's type in crystals and difference schemes
V. P. Maslov, V. G. Danilov
130
Representations of compact groups in Hilbert modules over $C^\ast$-algebras
A. S. Mishchenko
161
Well-posedness of an optimal control problem for a linear control system with integral quadratic performance index
M. S. Nikol'skii
177
Approximation by spherical polynomials
S. M. Nikol'skii, P. I. Lizorkin
186
Critical points and level surfaces of multivalued functions
S. P. Novikov
201
Special infinitesimal bendings of convex surfaces
A. V. Pogorelov
210
General boundary value problems for linear differential operators and the method of conjugate equations
Yu. A. Rozanov
213
Degeneration of surfaces of type K3
A. N. Rudakov, I. R. Shafarevich
222
A problem of optimization of transients
V. R. Telesnin
235


© Steklov Math. Inst. of RAS, 2025