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.

Boscaggin, A., Garrione, M. (2010). A note on a linear spectral theorem for a class of first order systems in R2n. ELECTRONIC JOURNAL ON THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 75(75), 1-22 [10.14232/ejqtde.2010.1.75].

A note on a linear spectral theorem for a class of first order systems in R2n

BOSCAGGIN, ALBERTO;GARRIONE, MAURIZIO
2010

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.
Articolo in rivista - Articolo scientifico
Phase angles; Rotation index; Spectral theory; Applied Mathematics
English
2010
75
75
1
22
none
Boscaggin, A., Garrione, M. (2010). A note on a linear spectral theorem for a class of first order systems in R2n. ELECTRONIC JOURNAL ON THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 75(75), 1-22 [10.14232/ejqtde.2010.1.75].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/62267
Citazioni
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 7
Social impact