R. S. Ismagilov, A. G. Kostyuchenko, “Spectral Asymptotics for the Sturm–Liouville Operator with Point Interaction”, Funktsional. Anal. i Prilozhen., 2010, Volume 44, Issue 4,Pages <nobr>14

This article is cited in 13 papers

Spectral Asymptotics for the Sturm–Liouville Operator with Point Interaction

R. S. Ismagilov^a, A. G. Kostyuchenko^b

^a N. E. Bauman Moscow State Technical University
^b M. V. Lomonosov Moscow State University

Abstract: For the Sturm–Liouville operator with point interaction, weak asymptotics of the discrete spectrum are found. A class of operators for which zero is the unique spectrum accumulation point is specified.

Keywords: point interaction, spectrum, asymptotics, alternating sequences.

UDC: 517.98

Received: 12.05.2010

DOI: 10.4213/faa3011