A regularized trace formula for second order differential operator equations
- Autores: Kevser Koklu, Inci Albayrak, Azad Bayramov
- Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 107, Nº 1, 2010, págs. 123-138
- Idioma: inglés
- DOI: 10.7146/math.scand.a-15146
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Resumen
In this paper, we deal with abstract Sturm-Liouville problems when the potential of the differential equation is an operator function in a Hilbert space H. We generalize trace formula obtained by [7], [9] for the classic regular Sturm-Liouville problems. We investigate the spectrum and obtained a regularized trace formula for the Sturm-Liouville operator with an operator coefficient.
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