ar X iv : m at h / 05 11 37 2 v 1 [ m at h . D S ] 1 5 N ov 2 00 5 EVANS FUNCTIONS , JOST FUNCTIONS , AND FREDHOLM DETERMINANTS
نویسنده
چکیده
The 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.
منابع مشابه
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متن کاملEvans Functions, Jost Functions, and Fredholm Determinants
The 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 associate...
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