 05395 Fritz Gesztesy, Yuri Latushkin, and Konstantin A. Makarov
 Evans Functions, Jost Functions, and Fredholm Determinants
(200K, LaTeX)
Nov 15, 05

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. The principal results of this paper consist of an intrinsic definition
of the Evans function in terms of newly introduced generalized
matrixvalued Jost solutions for general firstorder matrixvalued
differential equations on the real line, and a proof of the fact that the
Evans function, a finitedimensional determinant by construction,
coincides with a modified Fredholm determinant associated with a
BirmanSchwingertype integral operator up to a nonvanishing
factor.
 Files:
05395.tex