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

Alexander Makin

math.SParXiv: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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