Cub cadet lt 1042 kohler courage 19 engine... was mowing about 15 minutes when it started acting like it was running out of gas, then would rum fine for a minutes then start acting like it again, finally quit and now won't do anything, turn key on and acts like battery dead

I would check you ground.replace gas filter,and gas if it's old.give it a shot or 2 of carb cleaner.
Make sure your battery is full and holding a charge.at the least the will help releave some of the
"Maybe's" before and if you take it to someone.good luck.

Sounds like not charging check you voltage regulator and the stator ,I mean stator not starter.
Charge battery first to get it to start. This has a fuel solenoid if the battery goes low it will shut offand not let carb get gas.Luck