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Existence of positive solutions to semipositone singular Dirichlet boundary value problems

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F06%3A00003065" target="_blank" >RIV/61989592:15310/06:00003065 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Existence of positive solutions to semipositone singular Dirichlet boundary value problems

  • Original language description

    The paper presents conditions which guarantee that for some positive value &#956; there are positive solutions of the singular differential equation (&#966;(x'))'+&#956;(Q(t,x,x')=0 satisfying the Dirichlet boundary conditions on the interval [0,T]. Theproofs are based on a combination of a regularization method with the shooting method and with the method of lower and upper functions.

  • Czech name

    Existence kladných řešení semipositonních singulárních Dirichletovych úloh

  • Czech description

    V práci jsou uvedeny podmínky, které zaručují že pro kladné hodnoty &#956; existují kladná řešení singulární diferenciální rovnice (&#966;(x'))'+&#956;(Q(t,x,x')=0 splňující Dirichletovy okrajové podmínky. Důkazy jsou založeny na kombinaci regularizačnímetody s metodou střelby a s metodou horních a dolních funkcí.

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/GA201%2F04%2F1077" target="_blank" >GA201/04/1077: Qualitative analysis of solutions for ordinary and functional differential equations</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2006

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Acta Mathematica Sinica

  • ISSN

    0583-1431

  • e-ISSN

  • Volume of the periodical

    22

  • Issue of the periodical within the volume

    6

  • Country of publishing house

    CN - CHINA

  • Number of pages

    24

  • Pages from-to

    1891-1914

  • UT code for WoS article

  • EID of the result in the Scopus database