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On general Sturmian theory for abnormal 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%2F11%3A00049696" target="_blank" >RIV/00216224:14310/11:00049696 - isvavai.cz</a>

  • Result on the web

    <a href="http://aimsciences.org/journals/contentsListPro.jsp?pubID=469" target="_blank" >http://aimsciences.org/journals/contentsListPro.jsp?pubID=469</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On general Sturmian theory for abnormal linear Hamiltonian systems

  • Original language description

    In this paper we discuss oscillation theory for linear Hamiltonian systems for which we do not impose the controllability (or equivalently normality) assumption. Based on the Sturmian separation and comparison theorems on a compact interval, derived earlier by the author for these systems, we classify them as oscillatory or nonoscillatory. Moreover, we provide comparison theorems for such oscillatory and nonoscillatory systems. One of the goals of this paper is to provide several examples illustrating this new theory.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GC201%2F09%2FJ009" target="_blank" >GC201/09/J009: Oscillation and spectral theory of differential and difference systems</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2011

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Proceedings of the 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications

  • ISBN

    978-1-60133-007-9

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

    684-691

  • Publisher name

    AIMS (American Institute of Mathematical Sciences)

  • Place of publication

    Springfield, Missouri

  • Event location

    Drážďany

  • Event date

    Jan 1, 2010

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article