Oscillation theory for non-autonomous linear Hamiltonian systems

  1. Novo Martín, Sylvia 1
  2. Núñez Jiménez, María del Carmen 1
  3. Obaya García, Rafael 1
  4. Fabbri, Roberta 2
  5. Johnson, Russell
  1. 1 Universidad de Valladolid
    info

    Universidad de Valladolid

    Valladolid, España

    ROR https://ror.org/01fvbaw18

  2. 2 University of Florence
    info

    University of Florence

    Florencia, Italia

    ROR https://ror.org/04jr1s763

Proceedings:
Equadiff 2017

Publisher: Spectrum STU Bratislava

ISBN: 978-80-227- 4710-3

Year of publication: 2017

Type: Conference paper

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Abstract

This talk will be devoted to study oscillation properties of nonautonomous linear Hamiltonian systems applying some fundamental methods of topological dynamics and of ergodic theory. In particular, we will define and characterize the uniform weak disconjugacy concept and we will analyze the connections between disconjugacy, uniform weak disconjugacy, weak disconjugacy, and nonoscillation. A formula for the rotation number in terms of the multiplicityof the proper focal points of a conjoined basis will also be shown.