texture extruded curve lost when converted to mesh

I have a curve wich is extruded with a bevel. The curve is textured along the length. As soon I converted the curve to a mesh the texture is lost. How can I avoid this?
See the atached pic, right is the same curve converted to a mesh.


Did I explain it right? English is not my native language. As soon as I convert an textured curve into a mesh, the texture changes…I like to keep the texture…:frowning: