Investigation of the equations for regge pole parameters

An existence and uniqueness theorem is proved for the solution of the system of equations for the Regge pole parameters proposed by Cheng, Sharp, and Mandelstam. The proof presupposes the fulfillment of a certain condition that relates all the parameters. The Kantorovich–Akilov theorem is used, fulfillment of the conditions of this theorem ensuring the contraction property of the mappings.