Is that possible to Synthesis Diethyl 2-((4-fluoro-3-nitrophenyl amino)methyllene)malonate to Ethyl 6 -fluoro-1,4-dihydro-7-nitro-4-oxoquinoline-3-carboxylate.
surely yes..but would take lots of steps. Best method is to check for availabilty of compound which is pre-synthesized to a good level so that you can reduce the number of steps in your synthesis. Check this link form sigma aldrich http://www.sigmaaldrich.com/catalog/search?interface=All&term=oxo%20quinoline&N=0&focus=product&lang=en®ion=IN&cm_re=Did%20You%20Mean-_-
Yes, I agree with Seshank. It's barely possible for this transformation to proceed in a single step, cause the nucliophicity of the benzen ring bearing Nitroso group is not strong enough. You can search the synthetic methods of this molecule or similar ones with reaxys (www.reaxys.com). Good luck!