Asymptotic behaviour of the positive spectrum for a family of periodic Sturm-Liouville problems in the transition from a definite problem to indefinite one

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dc.creatorPopov, D. A.
dc.date2006-12-29
dc.date.accessioned2026-07-07T07:37:40Z
dc.date.available2026-07-07T07:37:40Z
dc.descriptionSpectral problem for a family of periodic Sturm--Liouville problems \[ u''+λ^2(a(x)-a)u=0 \] depending on the parameter (a\in\mathbb R) is considered. An interpolation formula describing the behaviour of the branches of the spectrum in the transition from a definite problem to indefinite one is obtained.
dc.description25 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0612849
dc.identifierhttp://arxiv.org/abs/math/0612849
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120854
dc.subjectSpectral Theory
dc.subject34B24; 33C15
dc.titleAsymptotic behaviour of the positive spectrum for a family of periodic Sturm-Liouville problems in the transition from a definite problem to indefinite one
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