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Reid's construction of minimal principal solution at infinity for linear Hamiltonian systems

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F16%3A00089096" target="_blank" >RIV/00216224:14310/16:00089096 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/978-3-319-32857-7_34" target="_blank" >http://dx.doi.org/10.1007/978-3-319-32857-7_34</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-319-32857-7_34" target="_blank" >10.1007/978-3-319-32857-7_34</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Reid's construction of minimal principal solution at infinity for linear Hamiltonian systems

  • Original language description

    Recently the authors introduced a theory of principal solutions at infinity for nonoscillatory linear Hamiltonian systems in the absence of the complete controllability assumption. In this theory the so-called minimal principal solution at infinity plays a distinguished role (the minimality refers to the rank of the first component of the solution). In this paper we show that the minimal principal solution at infinity can be obtained by a suitable generalization of the Reid construction of the principal solution known in the controllable case. Our new result points to some applications of the minimal principal solution at infinity e.g. in the spectral theory of linear Hamiltonian systems.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2016

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Differential and Difference Equations with Applications: ICDDEA, Amadora, Portugal, May 2015, Selected Contributions

  • ISBN

    9783319328553

  • ISSN

    2194-1009

  • e-ISSN

  • Number of pages

    11

  • Pages from-to

    359-369

  • Publisher name

    Springer

  • Place of publication

    NEW YORK

  • Event location

    Amadora

  • Event date

    Jan 1, 2015

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000391876600034