Annali di Matematica Pura ed Applicata

, Volume 185, Supplement 5, pp S3–S21

Disconjugacy and the rotation number for linear, non-autonomous Hamiltonian systems

Article

DOI: 10.1007/s10231-004-0134-4

Cite this article as:
Fabbri, R., Johnson, R. & Núñez, C. Annali di Matematica (2006) 185(Suppl 5): S3. doi:10.1007/s10231-004-0134-4

Abstract

The rotation number for non-autonomous Hamiltonian systems is used to characterize the weak disconjugacy property for such systems. The argument functions of Lidskii-Yakubovich are an important tool in the proofs. It is shown that weakly disconjugate systems admit principal solutions.

Keywords

disconjugacy rotation number argument function 

Copyright information

© Springer-Verlag 2005

Authors and Affiliations

  1. 1.Dipartimento di Sistemi e InformaticaUniversità di FirenzeFirenzeItaly
  2. 2.Dep. Matemática Aplicada a la IngenieríaUniversidad de ValladolidValladolidSpain

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