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Approximate controllability for second order nonlinear evolution hemivariational inequalities

机译:二阶非线性演化半变分不等式的近似可控性

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The goal of this paper is to study approximate controllability for control systems driven by abstract second order nonlinear evolution hemivariational inequalities in Hilbert spaces. First, the concept of a mild solution of our problem is defined by using the cosine operator theory and the generalized Clarke subdifferential. Next, the existence and the approximate controllability of mild solutions are formulated and proved by means of the fixed points strategy. Finally, an example is provided to illustrate our main results.
机译:本文的目的是研究希尔伯特空间中由抽象的二阶非线性演化半变不等式驱动的控制系统的近似可控性。首先,使用余弦算子理论和广义Clarke次微分来定义我们问题的温和解的概念。接下来,通过定点策略,阐述和证明了温和溶液的存在性和近似可控性。最后,提供一个示例来说明我们的主要结果。

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