Tomcat is dropping down a java server application

[Flavio Tobias <fl...@maxtrack.com.br>]

I have an server application developed on java that is running on machine that has a Tomcat server runnig. 
Before I publish my site the application has been runnig for 1 month without stops, when the access to the site
has begun the application stills running for up to 2 days.
I had this problem with another application, but in that case I just installed the apache and the its stay stable, but in this case
I cannot do this because I using jsp.
I noticed that tomcat connections goes up but does not close and this makes the java serversocket.accept function stop work after some time when the number of active connections reach a limimt. The strange thing is that does not raise any kind of exception.

There is some configuration parameter where I can set the time limit of a connection stays active.

What can I do?
I runnig out of time here.

Thanks any help
Flavio Tobias