Hi,
Well, the mapped object is one surface or a trim or something (but multiple objects)?
It seems (to me) that its a (bad?) edge of your model, but I can't tell you more.
If you want, send me the scene (just with the object AND its texture fiel (jpg)), I'll try to have a look on it, because it's (sorry) hard to tell you what goes wrong with your obejct/ texture...
Emmanuel