Strong monotonicity for analytic ordinary differential equations

We present a necessary and sufficient criterion for the flow of an analytic ordinary differential equation to be strongly monotone; equivalently, strongly order-preserving. The criterion is given in terms of the reducibility set of the derivative of the right-hand side. Some applications to sys...

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Bibliographic Details
Main Authors: Sebastian Walcher, Christian Zanders
Format: Article
Language:English
Published: Texas State University 2009-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2009/106/abstr.html