Are you looking for a list of applications installed on all mobile devices via the API or applications installed on a single device via the API?
A single device API search at JSSResources/mobiledevices/id/{id} returns a list of all the applications on a single device.
so a basic command like
curl -k -u "Username:Password" https://www.yourjss.com:8443/JSSResource/mobiledevices/id/{id} would return all the information about the specified device including installed applications.
If you wanted all applications on all devices, the only way I'm aware of being able to do that via the API, would be to write a script that would iterate through all the mobile devices and parse out the applications for each device.
