Integro-differential properties of the singular Sturm-Liouville operator

2014

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DOI 10.1134/s0012266114020025
Data confidence 70 medium
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Abstract

We consider the properties of the positiveness, fractional power, boundedness, and separation of the singular Sturm-Liouville operator in a weighted space depending on the behavior of its coefficients. We derive necessary and sufficient conditions for its positiveness, trace class property, boundedness, and separation.