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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

2006, Volume 12, Number 1

| General information | Contents |


Dynamical systems: modeling, optimization, and control


Yurii Sergeevich Osipov (photo)
Yurii Sergeevich Osipov (on the occasion of his 70th birthday)
V. I. Berdyshev, N. N. Krasovskii, A. B. Kurzhanskii, E. F. Mishchenko
3
The Pontryagin Maximum Principle 50 years later
A. A. Agrachev, R. V. Gamkrelidze
6
Statistics and classification of topologies of periodic functions and trigonometric polynomials
V. I. Arnol'd
15
On the fall of a heavy rigid body in an ideal fluid
A. V. Borisov, V. V. Kozlov, I. S. Mamaev
25
Methods for solving unstable equilibrium programming problems with coupled variables
F. P. Vasil'ev, A. S. Antipin
48
Approximation of nonsmooth solutions of linear ill-posed problems
V. V. Vasin
64
On the theory of three-person differential games
N. L. Grigorenko
78
Direct-dual Fejér methods for problems of quadratic programming
I. I. Eremin
86
Asymptotics of the solution to a differential equation with a small parameter in the case of two limit solutions
A. M. Il'in, S. F. Dolbeeva
98
Buffer phenomenon in systems close to two-dimensional Hamiltonian ones
A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov
109
One problem on stable tracking of motion
N. N. Krasovskii, A. N. Kotel'nikova
142
Dynamical state reconstruction and guaranteeing control for a system of parabolic equations
A. V. Kryazhimskii, V. I. Maksimov
157
Comparison principle for equations of the Hamilton–Jacobi type in control theory
A. B. Kurzhanskii
173
Adjoint equations and their applications
G. I. Marchuk
184
Dynamically Stable Cooperative Solutions in Randomly Furcating Differential Games
L. A. Petrosyan, D. W.-K. Yeung
196
A numerical method for the minimax solution of the Bellman equation in the Cauchy problem with additional restrictions
N. N. Subbotina, T. B. Tokmantsev
208
Nonsequential approximate solutions in abstract problems of attainability
A. G. Chentsov
216
Optimization of the motion in a resistant medium of a body with a movable internal mass
F. L. Chernous'ko
242


© Steklov Math. Inst. of RAS, 2025