Opuscula Math. 34, no. 1 (2014), 97-113
http://dx.doi.org/10.7494/OpMath.2014.34.1.97

 
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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  • 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
  • Received: 2013-05-03.
  • Revised: 2013-08-06.
  • Accepted: 2013-08-27.
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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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