| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4616682 | Journal of Mathematical Analysis and Applications | 2013 | 14 Pages |
Abstract
A linear ODE system with bounded continuous coefficients is studied. Provided that the diagonal terms are “separated” and the off-diagonal terms satisfy a smallness threshold, we present some sufficient conditions for the diagonalizability of the system. The results are valid for any couple of Banach subspaces V,WV,W of BC(R,Cn)BC(R,Cn) admissible for a family of reduced (n−1n−1 dimensional) linear homogeneous systems having exponential dichotomy.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Manuel Pinto, Gonzalo Robledo,