It's a standard astable multivibrator, as described here:-
https://www.build-electronic-circuits.com/astable-multivibrator/
There are two differences. Firstly, the circuit that you posted uses PNP transistors, while the classic circuit uses NPN, so the whole circuit is the opposite polarity, but otherwise works the same.
Secondly, in the circuit that you posted the multivibrator drives two power transistors that drive a transformer. The circuit is a rather crude way of making 240 V ac from 12 V dc.
NPN transistors always have a somewhat better gain than their PNP equivalents. That is why the standard multivibrator circuit uses NPN transistors. In the circuit that you posted, the transistors that drive the transformer are NPN, and they are the large transistors, so it is more important they there are the ones the work the best, so they are NPN. That means the multivibrator part has to have the transistors switching the +ve, so PNPs are used for that.
The circuit is really old. The 2N3638A is transistor in an old ceramic package that is obsolete. The 2N3055, while a classic that many have heard of, is also obsolete and there are many better transistors available nowadays. It was first made in 1967. The output transformer is repurposed from driving the filaments of valves. If you need as small inverter to give you 240 Vac from 12 V, buy a modern one, it will be much cheaper.