Illinois Journal of Mathematics

An ergodic and topological approach to disconjugate linear Hamiltonian systems

Abstract

This paper is devoted to the qualitative study of disconjugate random linear Hamiltonian systems. We relate the principal solutions at $\pm\infty$ with the ergodic structure of the flow, the presence of exponential dichotomy, and the description of the Sacker-Sell spectrum. A continuity theorem for the principal solutions is also provided.

Article information

Source
Illinois J. Math., Volume 45, Number 3 (2001), 803-822.

Dates
First available in Project Euclid: 13 November 2009

https://projecteuclid.org/euclid.ijm/1258138152

Digital Object Identifier
doi:10.1215/ijm/1258138152

Mathematical Reviews number (MathSciNet)
MR1879236

Zentralblatt MATH identifier
1008.37038

Citation

Johnson, Russell; Novo, Sylvia; Obaya, Rafael. An ergodic and topological approach to disconjugate linear Hamiltonian systems. Illinois J. Math. 45 (2001), no. 3, 803--822. doi:10.1215/ijm/1258138152. https://projecteuclid.org/euclid.ijm/1258138152