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Disconjugacy, transformations and quadratic functionals for symplectic dynamicsystems on time scales.

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F01%3A05025150" target="_blank" >RIV/67985840:_____/01:05025150 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216224:14310/01:00004346

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Disconjugacy, transformations and quadratic functionals for symplectic dynamicsystems on time scales.

  • Original language description

    Qualitative properties of the so-called symplectic dynamic system on an arbitrary time scale T are studied, providing a unified theory for discrete symplectic systems (T=Z) and differential linear Hamiltonian systems (T=R). We define disconjugacy (no focal points) for conjoined bases of symplectic dynamic systems and prove, under a certain minimal normality assumption, that disconjugacy of on the interval under consideration is equivalent to the positivity of the associated quadratic functional.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • 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

    2001

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Difference and Applications

  • ISSN

    1023-6198

  • e-ISSN

  • Volume of the periodical

    7

  • Issue of the periodical within the volume

    N/A

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    31

  • Pages from-to

    265-295

  • UT code for WoS article

  • EID of the result in the Scopus database