Special Session 12: 

A CLASS OF STRONGLY NONLINEAR INTEGRAL EQUATIONS ON THE SPACE OF VECTOR MEASURES AND THEIR OPTIMAL CONTROL

Nasir U Ahmed
University of Ottawa
Canada
Co-Author(s):    
Abstract:
In this presentation we consider a class of strongly nonlinear integral equations on the Banach space of signed measures and then extend these results to include vector measures with values in nite dimensional spaces. We prove existence and uniqueness of solutions of the integral equations. Then we consider several optimal control problems controlling the range of vector measures. Also we consider optimization problems related to relative entropy of solution measures relative to a reference measure.