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Some Questions in the Theory of Oscillations and the Theory of Optimal Control
Edited by: R. V. Gamkrelidze
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Proceedings of the Steklov Institute of Mathematics
1993; 186 pp; softcover
Volume: 197
ISBN-10: 0-8218-3148-8
ISBN-13: 978-0-8218-3148-9
List Price: US$140
Member Price: US$112
Order Code: STEKLO/197
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This book contains two fundamental papers. The first is, in essence, a short monograph devoted to the theory of periodic motions in singularly perturbed systems. The second deals with structural properties of the solutions of a system having infinitely many switchings on a finite time interval to Hamiltonian systems with discontinuous right-hand side.

Readership

Research mathematicians.

Table of Contents

  • E. F. Mishchenko and A. Yu. Kolesov -- Asymptotic theory of relaxation oscillations
  • M. I. Zelikin and V. F. Borisov -- Regimes with increasingly more frequent switchings in optimal control problems
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