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Sign reversal of the characteristic exponents of solutions of a differential system with initial data on finitely many points and lines

Sign reversal of the characteristic exponents of solutions of a differential system with initial... We realize a version of the Perron sign reversal effect for the characteristic exponents of a two-dimensional differential system; the exponents are negative for the linear approximation system and positive for the nontrivial solutions of the full nonlinear system with a higher-order perturbation in a neighborhood of the origin and with initial data on an arbitrary finite set of points and lines on the plane R 2. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Sign reversal of the characteristic exponents of solutions of a differential system with initial data on finitely many points and lines

Differential Equations , Volume 52 (11) – Jan 6, 2017

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References (18)

Publisher
Springer Journals
Copyright
Copyright © 2016 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/S001226611611001X
Publisher site
See Article on Publisher Site

Abstract

We realize a version of the Perron sign reversal effect for the characteristic exponents of a two-dimensional differential system; the exponents are negative for the linear approximation system and positive for the nontrivial solutions of the full nonlinear system with a higher-order perturbation in a neighborhood of the origin and with initial data on an arbitrary finite set of points and lines on the plane R 2.

Journal

Differential EquationsSpringer Journals

Published: Jan 6, 2017

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