Email this article Existence of a linear Pfaff system with arbitrary bounded disconnected lower characteristic set of positive Lebesgue m-measure
- Authors: Platonov A.S.1,2, Krasovskii S.G.1,2
-
Affiliations:
- Institute of Command Engineers
- Institute of Mathematics
- Issue: Vol 52, No 10 (2016)
- Pages: 1300-1311
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154108
- DOI: https://doi.org/10.1134/S0012266116100062
- ID: 154108
Cite item
Open Access
Access granted
Subscription Access
Abstract
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.
About the authors
A. S. Platonov
Institute of Command Engineers; Institute of Mathematics
Author for correspondence.
Email: alexpltn@mail.ru
Belarus, Minsk; Minsk
S. G. Krasovskii
Institute of Command Engineers; Institute of Mathematics
Email: alexpltn@mail.ru
Belarus, Minsk; Minsk
Supplementary files
