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Integro-differential properties of the singular Sturm-Liouville operator

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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.

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  1. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

    Sh. Bilal

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  1. Sh. Bilal
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Original Russian Text © Sh. Bilal, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 2, pp. 145–159.

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Bilal, S. Integro-differential properties of the singular Sturm-Liouville operator. Diff Equat 50, 147–161 (2014). https://doi.org/10.1134/S0012266114020025

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