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Lyapunov Exponents of the Radii of Inscribed and Circumscribed Spheres of Solutions of Time-Invariant Linear Differential Equations with the Hukuhara ...

Lyapunov Exponents of the Radii of Inscribed and Circumscribed Spheres of Solutions of... We consider linear time-invariant differential equations with the Hukuhara derivative. Weprove that if a solution of such an equation has a nonempty interior at the initial time, then theLyapunov exponents of the radii of the inscribed and circumscribed spheres of this solution arestrict and are equal to the minimum and maximum absolute values, respectively, of theeigenvalues of the coefficient matrix of the system. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Lyapunov Exponents of the Radii of Inscribed and Circumscribed Spheres of Solutions of Time-Invariant Linear Differential Equations with the Hukuhara ...

Differential Equations , Volume 57 (4) – May 24, 2021

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References (5)

Publisher
Springer Journals
Copyright
Copyright © Pleiades Publishing, Ltd. 2021
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/s0012266121040108
Publisher site
See Article on Publisher Site

Abstract

We consider linear time-invariant differential equations with the Hukuhara derivative. Weprove that if a solution of such an equation has a nonempty interior at the initial time, then theLyapunov exponents of the radii of the inscribed and circumscribed spheres of this solution arestrict and are equal to the minimum and maximum absolute values, respectively, of theeigenvalues of the coefficient matrix of the system.

Journal

Differential EquationsSpringer Journals

Published: May 24, 2021

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