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

1998, Volume 220

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Optimal control, differential equations and smooth optimization


Collection of articles. To corresponding member of RAS Revaz Valerianovich Gamkrelidze on occasion of his 70th birthday

Revaz Valer'yanovich Gamkrelidze (photo)
Introduction. On works of R. V. Gamkrelidze
A. A. Agrachev, E. F. Mishchenko
5
Strong minima in optimal control
A. A. Agrachev, P. Zezza, G. Stefani
8
Relaxation and perturbation of optimal control problem
A. V. Arutyunov
27
On the theory of necessary conditions for optimality for problems with phase constraints
S. M. Aseev
35
On the convexity of a family of solutions of a differential inclusion with delay
V. I. Blagodatskikh, P. Ndii
45
Bang-bang theorems and related questions
S. A. Vakhrameev
49
Point singularities of a conditional minimum on a three-dimensional manifold
A. A. Davydov, V. M. Zakalyukin
113
Cartan–Siegel homogeneous domains as integral manifolds of the complex Riccati-type equation
M. I. Zelikin
130
Some generalizations of the Morse lemma
A. F. Izmailov
142
External action as a method for the regularization of discontinuous oscillations in a nonlinear telegraph equation
A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov
157
Approximate linear reduction in a guidance-avoidance differential game
A. V. Kryazhimskii, Yu. S. Osipov
173
On a dynamic solution of equations in Banach spaces
V. I. Maksimov
195
On systems of linear integral convolution equations of Volterra type
M. S. Nikol'skii
210
On extremal controls for a homogeneous bilinear system that is controlled in the positive orthant
E. N. Khailov
217
A nonlinear optimal control problem with variable delay, nonfixed initial moment, and piecewise-continuous prehistor
G. L. Kharatishvili, T. A. Tadumadze
236


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