Approximate controllability of non-autonomous second-order evolution hemivariational inequalities with nonlocal conditions
Approximate controllability of non-autonomous second-order evolution hemivariational inequalities with nonlocal conditions
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DOI：
10.1080/00036811.2021.1942857
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发表时间：
2021-06
影响因子：
1.1
通讯作者：
Jing Zhao;Zhenhai Liu;Yongjian Liu
中科院分区：
文献类型：
--
作者：
Jing Zhao;Zhenhai Liu;Yongjian Liu
研究了Hilbert空间中具有非局部条件的非自治二阶发展半变分不等式所描述的控制系统的近似能控性.首先，我们定义的概念依赖于相应的线性方程的发展算子的存在性和克拉克次微分的性质的温和的解决方案。其次，通过一个不动点策略，考虑了系统的可解性和近似能控性。最后，给出了两个例子来说明我们的主要结果.
The goal of this paper is to deal with approximate controllability of control systems described by non-autonomous second-order evolution hemivariational inequalities with nonlocal conditions in Hilbert spaces. First we define the concept of mild solution relying on the existence of an evolution operator for the corresponding linear equation and the property of Clarke subdifferential. Next, the solvability and approximate controllability are considered by means of a fixed-point strategy. Finally, two examples are provided to illustrate our main results.