what are the LDO versions of LM338 (5 Amp)
Not sure. I'd just search digikey and see what I found.
Again, I'd search digikey.
HOWEVER, LDO regulators typically use a PNP transistor as a pass element and the current out of the ground pin (of a 3 terminal design) is going to be large and dependant on the output current. This makes an adjustable 3 terminal LDO regulator pretty tricky.
Now, you *could* use a P channel mosfet as a pass element, however chip fabrication is an issue, as well as the additional stability issues generated by the capacitive nature of the gate.
and does they work exactrly like their non ldo counter[parts .. except for the low droput..
At some level of abstraction the answer is yes. However if one looks at their stability and frequency response you will find that LDO regulators differ considerably.
and can they be used as CC souses like their non ldo couterparts are used ?
Probably, but you're going to still have the issue of dropping the regulator voltage across a sense resistor so it makes sense to design something that doesn't have this.
LDO regulators almost always require output capacitors (sometimes quite tightly specified) to ensure stability and this may be a problem in a constant current application.