In this article,the existence of non-negative solution to a perturbed conformal invariant integral equation was studied.As p ∈(n,0),q 0 such that pq + p + 2n = 0,the existence of non-negative solutions to perturbed integral equation is established,however as p ∈(0,∞),q 0 such that pq + p + 2n = 0,we show the perturbed integral equation has not non-negative solutions,which is different from the original conformal invariant integral equation and denotes the existence of integral equation is dete...