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In this article, we investigate the resolvent operator of singular Sturm‐Liouville problem with transmission conditions. We obtain integral representations for the resolvent of this operator in terms of the spectral… Click to show full abstract
In this article, we investigate the resolvent operator of singular Sturm‐Liouville problem with transmission conditions. We obtain integral representations for the resolvent of this operator in terms of the spectral function. Later, we discuss some properties of the resolvent operator, such as Hilbert‐Schmidt kernel property, compactness. Finally, we give a formula in terms of the spectral function for the Weyl‐Titchmarsh function of this problem.
Keywords:
sturm liouville;
singular sturm;
transmission conditions;
resolvent operator
Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020
Link to full text (if available)
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Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020
Link to full text (if available)
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recommendations!