Discussion on the existence and uniqueness of solution to nonlinear integro-differential systems

We present an abstract result for the existence and uniqueness of the solution of nonlinear integro-differential systems involving the generalized (p,q)(p,q)-Laplacian. The method used involves result on surjection of the sums of ranges of mm-accretive mappings and strongly accretive mappings. The systems and technique discussed in this paper extend and complement some of the previous work.