Nonuniform dichotomy spectrum and reducibility for nonautonomous equations
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
For nonautonomous linear differential equations with nonuniform hyperbolicity, we introduce a definition for nonuniform dichotomy spectrum, which can be seen as a generalization of Sacker-Sell spectrum. We prove a spectral theorem and use the spectral theorem to prove a reducibility result.
Details
| Original language | English |
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| Pages (from-to) | 538-557 |
| Number of pages | 20 |
| Journal | Bulletin des sciences mathématiques |
| Volume | 139 |
| Issue number | 5 |
| Publication status | Published - 1 Jul 2015 |
| Peer-reviewed | Yes |
External IDs
| ORCID | /0000-0003-0967-6747/work/213148714 |
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Keywords
ASJC Scopus subject areas
Keywords
- Nonautonomous differential equations, Nonuniform dichotomy spectrum, Nonuniform exponential dichotomy, Reducibility