I'm pretty sure you're hitting this bug:
Just make the form enclose the a4j:outputPanel and it works as expected. In fact you would probably just replace
the a4j:outputPanel with h:form id="onBlur2".
of course you are right. Thank you very much for your help.
It's a pity that my simple code does not work. I just wanted to create page when i put many elements as this one:
<ui:include src="/pages/test/form.xhtml" />
and forms in separate files. This would be easy to read i think. But now I have to abandon this approach.
And once again thanks.