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

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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About the authors ▼
Monika Homa
University of Rzeszów, Institute of Mathematics, al. Rejtana 16A, 35-959 Rzeszów, Poland
Rostyslav Hryniv
Institute for Applied Problems of Mechanics and Mathematics, 3b Naukova st., 79601 Lviv, Ukraine; University of Rzeszów, Institute of Mathematics, al. Rejtana 16A, 35-959 Rzeszów, Poland
About the article ▼
Received: 2013-05-03.
Revised: 2013-08-06.
Accepted: 2013-08-27.
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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