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Finitely smooth local equivalence of autonomous systems with one zero root
| Content Provider | Semantic Scholar |
|---|---|
| Author | Samovol, Vladimir Simkhovich |
| Copyright Year | 2010 |
| Abstract | In this paper, in a neighborhood of a singular point, we consider autonomous systems of ordinary differential equations such that the matrix of their linear part has one zero eigenvalue, while the other eigenvalues lie outside the imaginary axis. We prove that the problem of finitely smooth equivalence can be solved for such systems by using finite segments of the Taylor series of their right-hand sides. |
| Starting Page | 251 |
| Ending Page | 261 |
| Page Count | 11 |
| File Format | PDF HTM / HTML |
| DOI | 10.1134/S0001434610070230 |
| Volume Number | 88 |
| Alternate Webpage(s) | https://www.hse.ru/mirror/pubs/lib/data/access/ram/ticket/48/1545518310519964224cd5442225c794f0fb4b0d99/Finitely%20Smooth%20Local%20Equivalence%20of%20Autonomous%20Systems%20with%20One%20Zero%20Root.pdf |
| Alternate Webpage(s) | https://doi.org/10.1134/S0001434610070230 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
