This contribution is divided into three parts: in the first one, we study minimal subsets of the projective flow defined by a two-dimensional dynamical system. In the second part, we discuss some recent developments in the spectral theory and inverse spectral theory of the classical Sturm–Liouville operator. In the last part, we prove results concerning the density of the exponential dichotomy in the set of SL(2-R)-valued cocycles. All part represent examples of the applicability of the theory of nonautonomous dynamical systems in two dimensions to various problems concerning differential equations.
Nonautonomous differential systems in two dimensions.
ZAMPOGNI, Luca
2008
Abstract
This contribution is divided into three parts: in the first one, we study minimal subsets of the projective flow defined by a two-dimensional dynamical system. In the second part, we discuss some recent developments in the spectral theory and inverse spectral theory of the classical Sturm–Liouville operator. In the last part, we prove results concerning the density of the exponential dichotomy in the set of SL(2-R)-valued cocycles. All part represent examples of the applicability of the theory of nonautonomous dynamical systems in two dimensions to various problems concerning differential equations.File in questo prodotto:
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