I take photos with my Canon 20D on a Kaiser Reprostand of books for publication, lectures or documentation. I get sometimes uneven/gradient lightning, especially when using a white background. When taking several photos with the same setting some might be evenly, others unevenly lit. The tint happens to be going towards blue/green tinted on one side and red/yellow tinted on the other.
This is almost identical to my setting:
I have the same lights: 2 Kaiser RB 5000 with each having in my case two Osram L18W/12. Why does this gradient appear? Why is it not always there? How can I produce photos with a homogeneous lighting? I am focusing on solutions in production and not in postproduction.
This is an example picture I took, I just deleted a book in the center:


