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Maximal linear transformation groups preserving asymptotic properties of linear differential systems: I

Maximal linear transformation groups preserving asymptotic properties of linear differential... We consider the problem of describing sets of linear piecewise differentiable transformations that preserve some asymptotic property of linear differential systems. We present definitions needed for solving this problem, obtain preliminary results, and describe the set of linear transformations preserving the property of boundedness of the coefficients of linear differential systems on the time half-line. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Maximal linear transformation groups preserving asymptotic properties of linear differential systems: I

Differential Equations , Volume 48 (10) – Dec 15, 2012

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References (16)

Publisher
Springer Journals
Copyright
Copyright © 2012 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266112100011
Publisher site
See Article on Publisher Site

Abstract

We consider the problem of describing sets of linear piecewise differentiable transformations that preserve some asymptotic property of linear differential systems. We present definitions needed for solving this problem, obtain preliminary results, and describe the set of linear transformations preserving the property of boundedness of the coefficients of linear differential systems on the time half-line.

Journal

Differential EquationsSpringer Journals

Published: Dec 15, 2012

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