Non-interlaced solutions of 2-dimensional systems of linear ordinary differential equations

DOI10.1090/S0002-9939-2013-11614-XzbMath1275.34012OpenAlexW2029229323MaRDI QIDQ2839313

Olivier Le Gal, Patrick Speissegger, Fernando Sanz Sánchez

Publication date: 5 July 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11614-x

zbMATH Keywords

ordinary differential equationsRiccati equations\(o\)-minimal structuresinterlace

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Model theory of ordered structures; o-minimality (03C64)

Related Items (4)

Trajectories in interlaced integral pencils of 3-dimensional analytic vector fields are o-minimal ⋮ Solitary trajectories of analytic vector fields ⋮ Solutions of definable ODEs with regular separation and dichotomy interlacement versus Hardy ⋮ Interlacing and Separation of Solutions of Linear Meromorphic ODEs

Cites Work

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• Rotation of trajectories of Lipschitz vector fields
• Oscillation, spiralling, vorticity
• Asymptotic solutions of \(Y=F(x)Y\)
• Geometric categories and o-minimal structures
• The Field of Reals with Multisummable Series and the Exponential Function
• The Pfaffian closure of an o-minimal structure
• Second Order Differential Equations over Hardy Fields
• Quasi-analytic solutions of analytic ordinary differential equations and o-minimal structures

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