Journal
APPLICABLE ANALYSIS
Volume 102, Issue 1, Pages 23-37Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00036811.2021.1942857
Keywords
Approximate controllability; second-order systems; hemivariational inequality; Clarke subdifferential; cosine function of operators
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This paper aims to address the approximate controllability of control systems described by non-autonomous second-order evolution hemivariational inequalities with nonlocal conditions in Hilbert spaces. A concept of mild solution is first defined based on the existence of an evolution operator for the corresponding linear equation and the property of Clarke subdifferential. Then, the solvability and approximate controllability are investigated using a fixed-point strategy. Finally, two examples are provided to illustrate the main results.
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.
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