FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2000, VOLUME 6, NUMBER 1, PAGES 225-236
Z. G. Psiola
Abstract
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The present paper is devoted to the topological treatment
of the variational model of $k$ -product absolute monopoly.
The class of models with the flow of optimal trajectories
geodesically equivalent to the flow on plane is described.
Stability of optimal trajectories and the possibility of existence
of optimal synthesis are considered for periodical and non-periodical
cases. A number of integrable cases are considered for $k=2$ .
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Last modified: April 11, 2000