On the solvability of a system of wave and beam equations.
Optimality Conditions for a Nonlinear Boundary Value Problem Using Nonsmooth Analysis
We study in this paper a Lipschitz control problem associated to a semilinear second order ordinary differential equation with pointwise state constraints. The control acts as a coefficient of the state equation. The nonlinear part of the equation is governed by a Nemytskij operator defined by a Lipschitzian but possibly nonsmooth function. We prove the existence of optimal controls and obtain a necessary optimality conditions looking somehow to the Pontryagin’s maximum principle. These conditions...
Orthogonally additive operators on lattice-normed spaces.