Along the lines of Atkinson [3], a spectral theorem is proved for the boundary value problem, where f(t) is real-valued and P(t),B(t) are symmetric matrices, with B(t) positive definite. A suitable rotation index associated to the system is used to highlight the connections between the eigenvalues and the nodal properties of the corresponding eigenfunctions.
A note on a linear spectral theorem for a class of first order systems in R2n
Garrione, Maurizio
2010-01-01
Abstract
Along the lines of Atkinson [3], a spectral theorem is proved for the boundary value problem, where f(t) is real-valued and P(t),B(t) are symmetric matrices, with B(t) positive definite. A suitable rotation index associated to the system is used to highlight the connections between the eigenvalues and the nodal properties of the corresponding eigenfunctions.File in questo prodotto:
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