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Browsing by Subject "integral boundary value problems"

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    Item type:Article, Access status: Open Access ,
    Linear Sturm-Liouville problems with Riemann-Stieltjes integral boundary conditions
    (Wydawnictwa AGH, 2018) Kong, Qingkai; George, Thomas E. St.
    We study second-order linear Sturm-Liouville problems involving general homogeneous linear Riemann-Stieltjes integral boundary conditions. Conditions are obtained for the existence of a sequence of positive eigenvalues with consecutive zero counts of the eigenfunctions. Additionally, we find interlacing relationships between the eigenvalues of such Sturm-Liouville problems and those of Sturm-Liouville problems with certain two-point separated boundary conditions.