Opuscula Math. 34, no. 1 (2014), 97-113

Opuscula Mathematica

Comparison and oscillation theorems for singular Sturm-Liouville operators

Monika Homa
Rostyslav Hryniv

Abstract. We prove analogues of the classical Sturm comparison and oscillation theorems for Sturm-Liouville operators on a finite interval with real-valued distributional potentials.

Keywords: Sturm-Liouville equation, distributional potential, Sturm comparison and oscillation theorem, Prüfer angle.

Mathematics Subject Classification: 34B24, 34A36, 34B09, 34B19, 34L40.

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Cite this article as:
Monika Homa, Rostyslav Hryniv, Comparison and oscillation theorems for singular Sturm-Liouville operators, Opuscula Math. 34, no. 1 (2014), 97-113, http://dx.doi.org/10.7494/OpMath.2014.34.1.97

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