Stability, resonance and Lyapunov inequalities for periodic conservative systems |
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Authors: | Antonio Cañada Salvador Villegas |
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Institution: | Departamento de Análisis Matemático, Universidad de Granada, 18071 Granada, Spain |
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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. |
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Keywords: | 34B05 34B15 34C10 34C15 |
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