TY  - JOUR
ID  - Kong2018
LB  - Kong2018
AU  - Kong, Qingkai
AU  - St. George, Thomas E.
TI  - Linear Sturm-Liouville problems with Riemann-Stieltjes integral boundary conditions
ST  - Linear Sturm-Liouville problems with Riemann-Stieltjes integral boundary conditions
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2018
VL  - 38
IS  - 4
SP  - 557
EP  - 571
DO  - https://doi.org/10.7494/OpMath.2018.38.4.557
UR  - https://doi.org/10.7494/OpMath.2018.38.4.557
AB  - 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.
KW  - nodal solutions
KW  - integral boundary value problems
KW  - Sturm-Liouville problems
KW  - eigenvalues
KW  - matching method
SN  - 1232-9274
ER  -