Dynamical canonical systems and their explicit solutions

Alexander Sakhnovich

doi:10.3934/dcds.2017069

Article Contents

2017, Volume 37, Issue 3: 1679-1689. Doi: 10.3934/dcds.2017069

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Dynamical canonical systems and their explicit solutions

Alexander Sakhnovich

Fakultät für Mathematik, Universität Wien, Oskar-Morgenstern-Platz 1, A-1090 Vienna, Austria

Received: March 31, 2016

Revised: June 30, 2016

Published: May 2017

This research was supported by the Austrian Science Fund (FWF) under Grants No. P24301 and No. P29177.

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Dynamical canonical systems and their connections with the classical (spectral) canonical systems are considered. We construct Bäcklund-Darboux transformation and explicit solutions of the dynamical canonical systems. We study also those properties of the solutions, which are of interest in evolution and control theories.

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Mathematics Subject Classification: Primary:35B06, 37D99;Secondary:37C80, 74H05.

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