Upgrade
service applications to SharePoint 2013
When you upgrade from SharePoint 2010 Products to SharePoint 2013, you must use a database attach upgrade, which means that you upgrade only the content for your environment and not the configuration settings. After you have configured the SharePoint 2013 environment, and copied the content and service application databases, you can upgrade the service applications to SharePoint 2013. This article contains the steps that you take to upgrade the service applications.
A very useful Article from MS explaining in very detail about the
upgrade of the service applications.
I hope the above information will help you to resolve the issue, in case of any queries/questions regarding the above mentioned information then please let me know. I would be more than happy to help you as well as resolves your issues, Thank you.
