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Fredholm's third theorem for second-order singular Dirichlet problem

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F14%3A00430387" target="_blank" >RIV/67985840:_____/14:00430387 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1186/1687-2770-2014-59" target="_blank" >http://dx.doi.org/10.1186/1687-2770-2014-59</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1186/1687-2770-2014-59" target="_blank" >10.1186/1687-2770-2014-59</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Fredholm's third theorem for second-order singular Dirichlet problem

  • Original language description

    Consider the singular Dirichlet problem u'' = p(t)u + q(t); u(a) = 0, u(b) = 0, where p, q : ]a, b[?R are locally Lebesgue integrable functions. It is proved that if b a (s - a)(b - s)[p(s)] - ds < + and b a (s - a)(b - s) ! q(s) ! ds < +, then Fredholm's third theorem remains true.

  • 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

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2014

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Boundary Value Problems

  • ISSN

    1687-2770

  • e-ISSN

  • Volume of the periodical

  • Issue of the periodical within the volume

    59

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    15

  • Pages from-to

    1-12

  • UT code for WoS article

    000333618700001

  • EID of the result in the Scopus database