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
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.
- 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.
