Stability, Resonance and Lyapunov Inequalities for Periodic Conservative Systems
Classical Analysis and ODEs
2010-09-16 v1
Abstract
This paper is devoted to the study of Lyapunov type inequalities for periodic conservative systems. The main results are derived from a previous analysis which relates the best Lyapunov constants to some especial (constrained or unconstrained) minimization problems. We provide some new results on the existence and uniqueness of solutions of nonlinear resonant and periodic systems. Finally, we present some new conditions which guarantee the stable boundedness of linear periodic conservative systems.
Keywords
Cite
@article{arxiv.1009.2882,
title = {Stability, Resonance and Lyapunov Inequalities for Periodic Conservative Systems},
author = {Antonio Canada and Salvador Villegas},
journal= {arXiv preprint arXiv:1009.2882},
year = {2010}
}
Comments
19 pages