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2015, Volume 291  

| General information | Contents |


Optimal control


Collected papers. In commemoration of the 105th anniversary of Academician Lev Semenovich Pontryagin

Lev Semenovich Pontryagin (photo)
L.S. Pontryagin's studies on optimal processes and differential games
D. V. Anosov
7
Stability theorem and extremum conditions for abnormal problems
E. R. Avakov
10
Caristi's condition and existence of a minimum of a lower bounded function in a metric space. Applications to the theory of coincidence points
A. V. Arutyunov
30
On the boundedness of optimal controls in infinite-horizon problems
S. M. Aseev
45
Problem of optimal endogenous growth with exhaustible resources and possibility of a technological jump
K. O. Besov
56
Dual formulation of the Pontryagin maximum principle in optimal control
R. V. Gamkrelidze
69
On a class of control problems with incomplete information
N. L. Grigorenko, A. E. Rumyantsev
76
On the uniqueness of a positive stationary state in the dynamics of a population with asymmetric competition
A. A. Davydov, A. F. Nassar
86
Fractal theory of Saturn's ring
M. I. Zelikin
95
Approximate solution to a time optimal boundary control problem for the wave equation
D. A. Ivanov, M. M. Potapov
112
Application of optimal control to a biomechanics model
A. A. Krasovskii
128
Proportional economic growth under conditions of limited natural resources
A. V. Kryazhimskiy, A. M. Tarasyev, A. A. Usova, W. Wang
138
On an optimal flow in a class of nilpotent convex problems
L. V. Lokutsievskiy
157
Stability of the zero solution of a relay system of ordinary differential equations with two relays
A. A. Losev
182
Differential games for neutral-type systems: An approximation model
N. Yu. Lukoyanov, A. R. Plaksin
202
The Pontryagin maximum principle. Ab ovo usque ad mala
G. G. Magaril-Il'yaev
215
Calculation of the derivative of an inaccurately defined function by means of feedback laws
V. I. Maksimov
231
On some properties of Nash equilibrium points in two-person games
M. S. Nikol'skii
244
Differential inclusions with unbounded right-hand side and necessary optimality conditions
E. S. Polovinkin
249
On the solution of inverse problems of dynamics of linearly controlled systems by the negative discrepancy method
N. N. Subbotina, T. B. Tokmantsev, E. A. Krupennikov
266
On solving approach problems for control systems
V. N. Ushakov, V. I. Ukhobotov, A. V. Ushakov, G. V. Parshikov
276
On an asymptotic analysis problem related to the construction of an attainability domain
A. G. Chentsov, A. P. Baklanov
292
Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
 
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