Back from a quick surf.
Rudi - your decision from the Swiss Federal Court will probably have more information, but what I got from the 'net was that Anheuser-Busch introduced their Budweiser in 1876 and apparently trademarked it soon thereafter; while the Budvar brewery first registered a trademark somewhere around 1911. I couldn't find the first use of the word "Budweiser" as a trade name by the Budvar brewery, but as there were numerous breweries in the city of Budweis, it seems likely that none called itself (or was allowed to call itself) "the" Budweiser.
Anyway, for those who are interested, I found some interesting sites (I suppose the html won't work, but I'll try to make links anyway; if they don't work, just copy the URL into your browser address window):
As to the Budvar brewery, go to: <a href="http://www.insidechina.com/sponsors/budvar/history.html">Budvar</a>.
As to the history of Anheuser-Busch, go to: <a href="http://anheuser-busch.com/legacy/history.htm">A-B</a>.
Rudi has umlauts on his keyboard. I feel soooo discriminated!