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Periodic and constant solutions of matrix Riccati differential equations: n = 2

Published online by Cambridge University Press:  14 November 2011

David A. Sánchez
David A. Sánchez
Affiliation:
Department of Mathematics, University of New Mexico, Albuquerque, New Mexico 87131, U.S.A
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Synopsis

Several formulas are developed which can be used to determine constant solutions and the possible periods of periodic solutions (if any) of autonomous homogeneous matrix Riccati differential equations. These formulas are used to analyse some 2 × 2 cases, as well as to discuss the existence of periodic solutions under weak periodic forcing.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 94 , Issue 3-4 , 1983 , pp. 179 - 193
Copyright
Copyright © Royal Society of Edinburgh 1983

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