Comparison of solutions for non-monotone dynamical systems

We give conditions for a non-monotone system to preserve the usual vector order of solutions for a subset of initial conditions. Our approach consists of separating terms that meet Kamke’s sign condition from other ones in the dynamics, and considering Picard iterations. These conditions amount for...

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Veröffentlicht in:	Systems & control letters 2024-09, Vol.191 (105862), p.105862, Article 105862
Hauptverfasser:	Rapaport, Alain, Laraj, Oumaima, Khattabi, Noha El
Format:	Artikel
Sprache:	eng
Schlagworte:	Dynamical Systems Mathematics Monotone systems Ordinary differential equations Partial order Solutions comparison
Online-Zugang:	Volltext
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