Hi Susanne,
The style of the list of citations that appear at the end of your
document can be customized by one of two options:
1. Changing BibTeX style file.
2. Using jurabib specific commands in your preamble.
For option 1., click on the "BibTeX Generated Bibliography" in your LyX
file, select a different style from the drop-down menu "Style"; the
various styles are documented in many places. One such place is here:
http://www.cs.stir.ac.uk/~kjt/software/latex/showbst.html
See if you can find a style that matches your need. However, a quick
look did not reveal a style with italic authors.
For option 2. above, you can consult the jurabib documentation. One
option which might please you is
\jurabibsetup{biblikecite}
This will attempt to typeset the list just like the citation. I found
this trick here:
http://web.mit.edu/texsrc/source/latex/jurabib/jb-opt-ref.html
Certainly more customization is possible. Best of luck!
Julien