why my 1996 mitsubishi pajero l200 won t start when hot

First thing i need to know ,is when you cut the car off,when hot,doe,s starter turn over,and not crank,or it doe,s not turn over?

it turn over but don't start and it make it sound like the batty is dieing but when it cool down it start right up like boom

Sound,s like the starter may be bad,first check the battery to make sure it is good,then check the starter.

thanks T_S_T will check the starter but the battery is new but do it take more to start cold than hot and why I ask that is because when its cold I look at the key and it start right up you know what I mean but boy when its hot it kills me

When starter get,s hot,it wont, turn over good,