Duality theorems for a new class of multitime multiobjective variational problems (Q445328)

Curvilinear integral objectives are extensively used in mechanical engineering and in robotics due to their physical meaning as mechanical work. The authors consider multitime multiobjective variational problems of minimization of vector functionals of curvilinear integral type. They give weak duality theorems, proving that the value of the objective function of the primal cannot exceed the value of the dual. They study also the connection between the objective functions of the primal and dual problems.