You can compare aobj with the possible JComponents that it could be, eg
if (aobj == myJTextField1) ...
else (aobj == myJTextField2) ...
When you know what the source is, you can cast aobj to the appropriate class, eg
if (aobj == myJTextField1) JTextField tf = (JTextField) aobj
or maybe all the possible sources are JTextFields anyway so you can start with
JTextField source = (JTextField) caretEvent.getSource();
Finally, depending on how many components share this listener, and how similar or dissimilar their processing is, it may be best to have a different listener for each component so you don't need to check what the source was.