Opuscula Mathematica
Opuscula Math. 34, no. 1 (), 97-113
http://dx.doi.org/10.7494/OpMath.2014.34.1.97
Opuscula Mathematica

Comparison and oscillation theorems for singular Sturm-Liouville operators



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.
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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ISSN 1232−9274, e-ISSN 2300−6919, DOI http://dx.doi.org/10.7494/OpMath
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