Evans Functions, Jost Functions, and Fredholm Determinants

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dc.creatorGesztesy, Fritz
dc.creatorLatushkin, Yuri
dc.creatorMakarov, Konstantin A.
dc.date2005-11-15
dc.date.accessioned2026-07-07T06:51:15Z
dc.date.available2026-07-07T06:51:15Z
dc.descriptionThe principal results of this paper consist of an intrinsic definition of the Evans function in terms of newly introduced generalized matrix-valued Jost solutions for general first-order matrix-valued differential equations on the real line, and a proof of the fact that the Evans function, a finite-dimensional determinant by construction, coincides with a modified Fredholm determinant associated with a Birman-Schwinger-type integral operator up to a nonvanishing factor.
dc.description53 pages
dc.identifierhttps://arxiv.org/abs/math/0511372
dc.identifierhttp://arxiv.org/abs/math/0511372
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104927
dc.subjectDynamical Systems
dc.subjectSpectral Theory
dc.subject47B10; 47G10; 34B27; 34L40
dc.titleEvans Functions, Jost Functions, and Fredholm Determinants
dc.typetext

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