The GTK and Motif ports of wxWindow can create either a static library or a shared library on most Unix or Unix-like systems. The static library is called libwx_gtk.a and libwx_motif.a whereas the name of the shared library is dependent on the system it is created on and the version you are using. The library name for the GTK version of wxWindows 2.2 on Linux and Solaris will be libwx_gtk-2.2.so.0.0.0, on HP-UX, it will be libwx_gtk-2.2.sl, on AIX just libwx_gtk.a etc.
Under Windows, use the library wx.lib (release) or wxd.lib (debug) for stand-alone Windows applications, or wxdll.lib (wxdlld.lib) for creating DLLs.