@Article{Kong2018,
author = "Kong, Qingkai and St. George, Thomas E.",
title = "Linear Sturm-Liouville problems with Riemann-Stieltjes integral boundary conditions",
journal = "Opuscula Math.",
year = "2018",
volume = "38",
number = "4",
pages = "557--571",
doi = "https://doi.org/10.7494/OpMath.2018.38.4.557",
url = "https://doi.org/10.7494/OpMath.2018.38.4.557",
abstract = "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.",
keywords = "nodal solutions, integral boundary value problems, Sturm-Liouville problems, eigenvalues, matching method",
issn = "1232-9274"
}