Skip Navigation

Journal of the London Mathematical Society 2002 65(2):397-410; doi:10.1112/S0024610701002897
© 2002 by London Mathematical Society
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Siegmund, S.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The London Mathematical Society

Reducibility of Nonautonomous Linear Differential Equations

Stefan Siegmund

Center for Dynamical Systems and Nonlinear Studies, Georgia Institute of Technology Atlanta, GA 30332, USA, siegmund{at}math.gatech.edu

Received 8 June 2000. Revision received 16 June 2001.

A linear autonomous system of differential equations x=Ax can be transformed to its Jordan normal form, that is, the transformed system is in block diagonal form and the blocks correspond to different eigenvalues. This result is generalized to arbitrary nonautonomous linear systems x=A(t)x with a locally integrable matrix function A:R -> RNxN.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.