Inverse problems of spectral analysis for the Sturm-Liouville operator with regular boundary conditions

Alexander Makin

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Inverse problems of spectral analysis for the Sturm-Liouville operator with regular boundary conditions

Alexander Makin

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Abstract

We consider the Sturm-Liouville operator Lu=u''-q(x)u with regular but not strongly regular boundary conditions. Under some supplementary assumptions we prove that the set of potentials q(x) that ensure an asymptotically multiple spectrum is everywhere dense in the space of summable functions.

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Alexander Makin. 2006-02-26. Inverse problems of spectral analysis for the Sturm-Liouville operator with regular boundary conditions. https://arxiv.org/abs/math/0602584

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