Issue Cron runs from browser, but not from cron itself

[MWHarx]

I have a couple cron jobs that run from browser and even run from cron itself under domain account xxx, but not under domain yyy. The cron calls a PHP script in htdocs root.

Under domain xxx, the owner is the domain itself, under yyy, the owner is SYSTEM.

I assume that the problem is caused by the fact, that SYSTEM is the owner of the faulty cron jobs. But, the heck, I do not get the faulty cron jobs installed under the domain.

Can somebody suggest the way to do so, please?

Thanks in advance.