Existence of a linear Pfaff system with arbitrary bounded disconnected lower characteristic set of positive Lebesgue m-measure
- Autores: Platonov A.S.1,2, Krasovskii S.G.1,2
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Afiliações:
- Institute of Command Engineers
- Institute of Mathematics
- Edição: Volume 52, Nº 10 (2016)
- Páginas: 1300-1311
- Seção: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154108
- DOI: https://doi.org/10.1134/S0012266116100062
- ID: 154108
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Resumo
We give a constructive proof of the existence of a completely integrable Pfaff system with infinitely differentiable bounded coefficient matrices and with an arbitrary disconnected lower characteristic set of positive Lebesgue m-measure.
Sobre autores
A. Platonov
Institute of Command Engineers; Institute of Mathematics
Autor responsável pela correspondência
Email: alexpltn@mail.ru
Belarus, Minsk; Minsk
S. Krasovskii
Institute of Command Engineers; Institute of Mathematics
Email: alexpltn@mail.ru
Belarus, Minsk; Minsk
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