Перегляд Збірник праць Інституту математики НАН України, 2009 (том 6) за автором "Lychagin, V.V."

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Feedback Equivalence of 1-dimensional Control Systems of the 1-st Order

Lychagin, V.V. (2009)

The problem of local feedback equivalence for 1-dimensional control systems of the 1-st order is considered. The algebra of differential invariants and criteria for the feedback equivalence for regular control systems are found.
Hyperplanar Webs and Euler Equations

Goldberg, V.V.; Lychagin, V.V. (2009)

We find necessary and sufficient conditions for the foliation defined by level sets of a function f(x1, . . . , xn) to be totally geodesic in a torsion-free connection and apply them to find the conditions for d-webs of ...

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