Abstract
AbstractIn the paper the speed‐in‐action problem is investigated for the second‐order nonlinear hyperbolic equation. The main feature of the paper is that for the first time the problem is considered with a nonlocal condition in differ from many works devoted the similar problems. A theorem on the existence of the optimal control is proved. Freshet differentiability of the corresponding functional is shown. The necessary optimality conditions are derived in the form of variational inequalities.
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