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Prüfer angle and non-oscillation of linear equations with quasiperiodic data

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00107218" target="_blank" >RIV/00216224:14310/19:00107218 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/article/10.1007/s00605-018-1232-5" target="_blank" >https://link.springer.com/article/10.1007/s00605-018-1232-5</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00605-018-1232-5" target="_blank" >10.1007/s00605-018-1232-5</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Prüfer angle and non-oscillation of linear equations with quasiperiodic data

  • Original language description

    We consider the Sturm-Liouville differential equations with a power of the independent variable and sums of periodic functions as coefficients (including the case when the periodic coefficients do not have any common period). Using known results, one can show that the studied equations are conditionally oscillatory, i.e., there exists a threshold value which can be expressed by the coefficients and which separates oscillatory equations from non-oscillatory ones. It is very complicated to specify the behaviour of the treated equations in the borderline case. In this paper, applying the method of the modified Prüfer angle, we answer this question and we prove that the considered equations are non-oscillatory in the critical borderline case.

  • 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/GA17-03224S" target="_blank" >GA17-03224S: Asymptotic theory of ordinary and fractional differential equations and their numerical discretizations</a><br>

  • Continuities

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

Others

  • Publication year

    2019

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    MONATSHEFTE FUR MATHEMATIK

  • ISSN

    0026-9255

  • e-ISSN

    1436-5081

  • Volume of the periodical

    189

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    AT - AUSTRIA

  • Number of pages

    24

  • Pages from-to

    101-124

  • UT code for WoS article

    000467494400006

  • EID of the result in the Scopus database

    2-s2.0-85056889336