Nonlinear integral equations and product integrals

Let S be a linearly ordered set, {G, =, 0,

} a complete normed abelian group, H the set of functions from G to G that take 0 to 0, OA and OM classes of functions from SXS to H that are order-additive and order-multiplicative respectively and satisfy a Lipschitz-type condition, E be J. S. Mac Nerney's reversible mapping from OA onto OM...