The Liouville Type Theorem for a System of Nonlinear Integral Equations on Exterior Domain

In this paper we are concerned with a system of nonlinear integral equations on the exterior domain under the su让able boundary conditions.Through the method of moving planes in integral forms which has some innovative ideas we obtain that the exterior domain is radial symmetry and a pair of positive solutions of the system is radial symmetry and monotone non-decreasing.Consequently,we can obtain the corresponding Liouville type theorem about the solutions.