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Abstract
In the present paper we investigate the initial – boundary value problems describing oscillation processes with boundary conditions of hysteresis type. Analogues of the d’Alembert formula are obtained. Some control problems are analysed and explicit forms of control functions are presented.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
The first and the third authors were supported by the Ministry of Education and Science of the Russian Federation in the frameworks of the project part of the state work quota [project number 1.3464.2017/4.6]. The second author was supported by the grant MOST [106-2115-M-037-001] and the grant from Research Center for Nonlinear Analysis and Optimization, Kaohsiung Medical University, Taiwan.