Thanks for the responses,
This is an iApp using the template of f5.oracle_as_10g and has a custom session cookie, which was created by the iApp (basically the only thing custom is the name, using the default session cookie persistence with cookie insert).
The .jar files are basically pushed to the client java cache on first connection to the application. The files are cached within the Java Runtime (JRE). They persist in the client’s java cache. The files are cached based on the complete URL to the file. These files do not expire with the session.