In this paper novel classes of relaxed problems are stated which are called flow problems. They are related to standard problems of optimal control with functions of one independent variable. Both of these optimization problems have in each case the same dual problem. However for flow problems one can prove the validity of strong duality under weaker assumptions.
Cite this article
Rolf Klötzler, Dualität bei Steuerungsproblemen und zugeordneten Flussproblemen I. Z. Anal. Anwend. 1 (1982), no. 4, pp. 47–57DOI 10.4171/ZAA/28