A SECOND-ORDER NECESSARY CONDITION FOR OPTIMALITY IN THE GENERAL NONLINEAR CASE

A necessary second-order optimality condition in nonsmooth mathematical programming

Generalized second–order directional derivatives for nonsmooth real–valued functions are studied and their connections with second–order variational sets are investigated. A necessary second–order optimality condition for problems with inequality constraints is obtained.

Second Order Su cient Optimality Condition for a Nonlinear Elliptic Boundary Control Problem

In this paper suucient second order optimality conditions are established for optimal control problems governed by a linear elliptic equation with nonlinear boundary condition, where pointwise constraints on the control are given. The second order condition requires the coercivity of the Lagrange{function on a suitable subspace together with rst order suucient conditions on a certain set of str...

Second Order Suucient Optimality Condition for a Nonlinear Elliptic Control Problem

Marginal values and second-order necessary conditions for optimality

Research Article Necessary Conditions of Optimality for Second-Order Nonlinear Impulsive Differential Equations