Adding this answer as I had to lookup multiple places to achieve my use case. I had a script that runs on startup. This script runs process as a specific (passwordless) user and is running on multiple linux flavors. Here are options on different flavors: (I have taken java as target process for example)
1. RHEL / CentOS 6:
source /etc/rc.d/init.d/functions
daemon --user=myUser $JAVA_HOME/bin/java
2. RHEL 7 / SUSE12 / other linux flavors where systemd is used:
In your systemd unit file add:
User=myUser
3. Suse 11:
/sbin/startproc -u myUser $JAVA_HOME/bin/java