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Oscillation criterion for discrete trigonometric systems

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F15%3A00081332" target="_blank" >RIV/00216224:14310/15:00081332 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1080/10236198.2015.1070842" target="_blank" >http://dx.doi.org/10.1080/10236198.2015.1070842</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1080/10236198.2015.1070842" target="_blank" >10.1080/10236198.2015.1070842</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Oscillation criterion for discrete trigonometric systems

  • Original language description

    In this paper we investigate oscillation properties of discrete trigonometric systems whose coefficients matrices are simultaneously symplectic and orthogonal. The main result generalizes a necessary and sufficient condition of nonoscillation of trigonometric systems proved by M.~Bohner and O.~Dov{s}l'y (J. Differential Equations 163 (2000), 113--129) in the case when the block in the upper right corner of the coefficient matrix is symmetric and positive definite. Now we present this oscillation criterion for an arbitrary trigonometric system. The obtained results are applied to formulate a necessary and sufficient condition for nonoscillation of even-order Sturm-Liouville difference equations

  • 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

    <a href="/en/project/GAP201%2F11%2F0768" target="_blank" >GAP201/11/0768: Qualitative properties of solutions of differential equations and their applications</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2015

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    J. Difference Equ. Appl.

  • ISSN

    1023-6198

  • e-ISSN

  • Volume of the periodical

    21

  • Issue of the periodical within the volume

    12

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    21

  • Pages from-to

    1256-1276

  • UT code for WoS article

    000366142700009

  • EID of the result in the Scopus database