In this paper we shall study the optimal control problems governed by nonlinear hyperbolic variational inequalities of the form y" + Ay + β(y') ε Bu + f, a.e. in Q = Ω * [0, T] (*) y(0) = y_0, y'(0) = y_1 with the state constraint F(y) is contained in S, and the cost functional is I, β is a discontinuous, nonmonotone, and nonlinear multi-valued mapping.
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机译：在本文中，我们将研究由y“+ Ay +β（Y'）εbu+ f，q =ω* [0，t]（*）y的非线性双曲变分不等式所治理的最佳控制问题0）= Y_0，Y'（0）= Y_1与状态约束f（Y）包含在S中，并且成本函数是I，β是不连续的，非单调的，和非线性多值映射。
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