(https://www.akeebabackup.com/support/akeeba-backup-3x/11330-no-inpui-file-specified-part-2--no-backup-folder-ftp.html#p66580)
I have given some hints, how a STRATO Managed Server should be set up, in order to avoid the "No Input File Specified"-message in the backend of Joomla!.
In the meatime, I have discovered that it is not necessary to apply this setup (PHP5.3 + CGI + eaccelerator) to the whole Joomla! Installation. It is rather sufficient, if these settings are only applied to the folder
components/com_akeeba
(NOT: administrator/components/com_akeeba)
I have clicked on nearly every button and link in the backend and it´s working. It is mysterious, but it is working ...
Netzy