Thank you. This first report turned out to be sufficient.
There are frequently appeared lines in the system.log
Nov 15 14:14:05 computer lookupd[327]: lookupd (version 369.6) starting - Sat Nov 15 14:14:05 2008
Nov 15 14:14:10 computer launchd: Server 33e7 in bootstrap 1103 uid 0: "/usr/sbin/lookupd"[327]: exited abnormally: Hangup
Digging the web had shown, that this is rather frequent problem and there could be several possible reasons with it.
I think that removing the AirPort connection and adding it again may resolve the problem. To make it, please write somewhere your AirPort settings (network, authentication type etc), go to the Mac OS X settings for Network, press unlock
Unfortunately I can't provide screenshots at the moment, so for now just plain text about hot to remove and add Airport Network. Make sure that you have all required information to configure your Airport from scratch.
Please go to the Mac OS X System Preferences -> Networking.
If the lock icon is locked, please click on it (it will ask for your password) and unlock.
Click on the Airport connection and press '-' button in the botoom part of the window and remove the configuration for Airport.
Then press '+' and add an Airport connection again. Then configure it with your settings.
I hope it should help.
Last edited: Nov 18, 2008