Diagonalizability of nonautonomous linear systems with bounded continuous coefficients

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:407

Article

Pinto, Manuel¹  Robledo, Gonzalo¹ 

[1] Univ Chile, Fac Ciencias, Dept Matemat, Santiago, Chile

关键词: Linear ordinary differential equations;    Riccati's equations;    Exponential dichotomy;    alpha-integral separation;    Admissibility;   

DOI  :  10.1016/j.jmaa.2013.05.038

来源: Elsevier

【 摘 要 】

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, W of BC (R, C-n) admissible for a family of reduced (n - 1 dimensional) linear homogeneous systems having exponential dichotomy. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free