On the basis property of the root function systems of regular boundary value problems for the Sturm-Liouville operator

2006/03/17 by Makin, Alexander
#34L10 #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.math/0603419

Abstract

We consider the nonselfadjoint Sturm-Liouville operator Lu=u''-q(x)u with regular but not strongly regular boundary conditions, where q(x)is an arbitrary complex-valued summable function. We examine the basis property for the root function system of the mentioned operator.

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