On an evolutionary dynamical system of the first order with boundary control

2020/06/27 by Belishev, M. I., Simonov, S. A. · 1 citation
#34K30 #47B25 #47D03 #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2006.15444

Abstract

The work is carried out as part of the program to construct a new functio\-nal (so-called \it wave) model of symmetric operators. It is shown that an abstract evolutionary dynamic system of the first order (with respect to time) with boundary control, which is determined by a symmetric operator L₀:\mathscr H→\mathscr H, is controllable if and only if L₀ has no maximal symmetric parts in~\mathscr H.

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