JUCE on Cygwin?

Could somebody tell me how to compile JUCE applications using cygwin ?

That depends on what you are trying to achieve, you want Linux support or Win32 API support. The LINUX part you won’t get with cygwin, compiling JUCE with MinGW (witch is part of Cygwin if i remember) is possible. I think i wrote some of the info here: http://www.rawmaterialsoftware.com/viewtopic.php?f=3&t=7068&hilit=mingw