Perhaps you could explain a little more about this situation. On which box are you seeing this symptom (or is it on all the boxes)? Is this subnet a directly connected subnet on any of the boxes? Is this subnet known via static route or via dynamic routing protocol (and if dynamic - which routing protocol)?
Also I am unclear exactly what symptoms you are experiencing. You say that if you show ip route for that particular subnet that you see two routes to it, and if you check again in 10 seconds it flaps - what do you mean about flapping?
HTH
Rick
HTH
Rick