A modified Hamilton-Jacobi approach in the generalized problem of Bolza

We are concerned with developing sufficiency criteria for the generalized problem of Bolza, where the Hamiltonian is neither concave-convex nor differentiable. The core of the approach is the modified Hamilton-Jacobi inequality which leads to a new type of sufficient conditions. This latter is then used to derive new first order and known second order sufficient conditions.The publication of this report has been made possible due to a grant of the Fonds FCAC for the help and support of research.