We develop a difference equations analogue of recent results by F. Gesztesy, K. A. Makarov, and the second author relating the Evans function and Fredholm determinants of operators with semi-separable kernels.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc75-0-7,
author = {David Cramer and Yuri Latushkin},
title = {Fredholm determinants and the Evans function for difference equations},
journal = {Banach Center Publications},
volume = {75},
year = {2007},
pages = {111-135},
zbl = {1118.39300},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc75-0-7}
}
David Cramer; Yuri Latushkin. Fredholm determinants and the Evans function for difference equations. Banach Center Publications, Tome 75 (2007) pp. 111-135. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc75-0-7/