Stability, Resonance and Lyapunov Inequalities for Periodic Conservative Systems

Details Stability, Resonance and Lyapunov Inequalities for Periodic Conservative Systems Stability, Resonance and Lyapunov Inequalities for Periodic Conservative Systems

2010-09-15

arxiv.org/abs/1009.2882v1

Mathematics

Classical Analysis and ODEs

19 pages

Scientific paper

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.

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