If I use run there application hang, it doesn't use CPU and doesn't eat
memory, just stop responce.

io_service::run() blocks until all the work is done. However, you can run io_service in another thread, like this:
boost::thread thread(boost::bind(&io_service::run, &io_service_)); //note that io_service_ must outlive the thread

then you can use this io_service with any number of timers/sockets - all their handlers will run in that thread.