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Principal solution in Weyl-Titchmarsh theory for second order Sturm-Liouville equation on time scales

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F17%3A00094566" target="_blank" >RIV/00216224:14310/17:00094566 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.14232/ejqtde.2017.1.2" target="_blank" >http://dx.doi.org/10.14232/ejqtde.2017.1.2</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.14232/ejqtde.2017.1.2" target="_blank" >10.14232/ejqtde.2017.1.2</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Principal solution in Weyl-Titchmarsh theory for second order Sturm-Liouville equation on time scales

  • Original language description

    A connection between the oscillation theory and the Weyl--Titchmarsh theory for the second order Sturm--Liouville equation on time scales is established by using the principal solution. In particular, it is shown that the Weyl solution coincides with the principal solution in the limit point case, and consequently the square integrability of the Weyl solution is obtained. Moreover, both limit point and oscillatory criteria are derived in the case of real-valued coefficients, while a~generalization of the invariance of the limit circle case is proven for complex-valued coefficients. Several of these results are new even in the discrete time case. Finally, some illustrative examples are provided.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA16-00611S" target="_blank" >GA16-00611S: Hamiltonian and symplectic systems: oscillation and spectral theory</a><br>

  • Continuities

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

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Electronic Journal of Qualitative Theory of Differential Equations

  • ISSN

    1417-3875

  • e-ISSN

  • Volume of the periodical

    Neuveden

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    HU - HUNGARY

  • Number of pages

    18

  • Pages from-to

    1-18

  • UT code for WoS article

    000393036200001

  • EID of the result in the Scopus database