The UPS mainly need a battery to work, with no battery they most of the times, with a few exceptions, will not power up, TRIPP-lite, APC, and Wabber models, IIRC will not...you can try it with your car battery to see if it works or not, later on order the battery from any only store, just ot avoid wasting yuor money...a batter ycan be cheap or expensive up to $70.00 depending on the type, so to get a UPS with no battery type listed is a risk...as sometimes the cost of the battery later on, will make the purchase futile...
The voltage regulation system, the boost at least, in case fo low voltage work also with the battery, with no battery is will not do anything...muast probably will shut down...