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math.AP2021★ 1 cited
Optimal control of a population dynamics model with hysteresis
Sergey A. Timoshin, Chen Bin
This paper addresses a nonlinear partial differential control system arising in population dynamics. The system consist of three diffusion equations describing the evolutions of th…
math.AP2020
Relaxation in population dynamics models with hysteresis
Sergey A. Timoshin, Toyohiko Aiki
The present paper is concerned with a nonlinear partial differential control system subject to a state-dependent and nonconvex control constraint. This system models the dynamics o…
math.AP2020
Periodic solutions of a phase-field model with hysteresis
Chen Bin, Sergey A. Timoshin
In the present paper we consider a partial differential system describing a phase-field model with temperature dependent constraint for the order parameter. The system consists of…