Title
A Dynamical Systems Result On Asymptotic Integration Of Linear Differential Systems
Document Type
Article
Publication Date
1-1-2003
Publication Title
Journal Of Differential Equations
Department
Mathematics and Computer Science
Abstract
We are interested in the asymptotic integration of linear differential systems of the form x′=[Λ(t)+R(t)]x, where Λ is diagonal and R∈Lp[t0,∞) for p∈[1,2]. Our dichotomy condition is in terms of the spectrum of the omega-limit set ωΛ. Our results include examples that are not covered by the Hartman–Wintner theorem.
Volume
187
Issue
1
pp.
1-22
ISSN
0022-0396
Provider Link
Citation
Bodine, Sigrun. 2003. "A dynamical systems result on asymptotic integration of linear differential systems." Journal Of Differential Equations 187(1): 1-22.