Linear Sturm-Liouville problems with Riemann-Stieltjes integral boundary conditions | Zendy

Qingkai Kong | Zendy; Thomas E. St. George | Zendy

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Linear Sturm-Liouville problems with Riemann-Stieltjes integral boundary conditions

Author(s) -

Qingkai Kong,

Thomas E. St. George

Publication year - 2018

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2018.38.4.557

Subject(s) - mathematics , riemann–stieltjes integral , sturm–liouville theory , riemann integral , mathematical analysis , daniell integral , boundary value problem , boundary (topology) , integral equation , singular integral

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.

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