For a system of linear ordinary differential equations with constant coefficients a simple proof is given that hyperbolicity is equivalent to shadowing.
@article{urn:eudml:doc:41528,
title = {Shadowing for linear systems of differential equations.},
journal = {Publicacions Matem\`atiques},
volume = {37},
year = {1993},
pages = {245-253},
mrnumber = {MR1249229},
zbl = {0804.34010},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41528}
}
Ombach, Jerzy. Shadowing for linear systems of differential equations.. Publicacions Matemàtiques, Tome 37 (1993) pp. 245-253. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41528/