You can't get them through the UI out of the box. However, you just might be able to access the logs for the server it runs on from an autoscript.
Assuming default configuration, Maximo runs from a WebSphere profile's directory. The relative path from there to your app server's logs is "logs/{mxe.name}/SystemOut.log", where you would replace "{mxe.name}" with the value of the mxe.name system property. And with a bit of study and work, you might just be able to get that exposed in the Maximo Management Console.