Existence of linear Pfaff systems with lower characteristic set consisting of countably many segments in the space \(\mathbb R^3\)

DOI10.1134/S0012266110100083zbMath1220.37057OpenAlexW2083787995MaRDI QIDQ2429683

A. A. Timofeeva, A. S. Platonov

Publication date: 1 April 2011

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

Full work available at URL: https://doi.org/10.1134/s0012266110100083

zbMATH Keywords

Pfaff systemlower characteristic set

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (1)

Existence of a linear Pfaff system with arbitrary bounded disconnected lower characteristic set of positive Lebesgue \(m\)-measure

Cites Work

• Existence of linear Pfaffian systems whose lower characteristic set has positive measure in \(\mathbb{R}^3\)
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