Construction of a linear Pfaff system with \(m\)-dimensional time and with given characteristic set and lower characteristic set

DOI10.1134/S0012266117100020zbMath1404.58008OpenAlexW2769948326MaRDI QIDQ1701766

S. G. Krasovskii, A. S. Platonov

Publication date: 27 February 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266117100020

zbMATH Keywords

linear \(n\)-dimensional Pfaff systems

Mathematics Subject Classification ID

Pfaffian systems (58A17) Linear ordinary differential equations and systems (34A30) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

Cites Work

• Existence of a linear Pfaff system with arbitrary bounded disconnected lower characteristic set of positive Lebesgue \(m\)-measure
• Existence of linear Pfaffian systems whose lower characteristic set has positive measure in \(\mathbb{R}^3\)
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