Malaysian Journal of Mathematical Sciences, January 2019, Vol. 13, No. 1
Invariant Constant Multi-Valued Mapping for the Heat Conductivity Problem
Tukhtasinov, M., Mustapokulov, K., and Ibragimov, G.
Corresponding Email: ibragimov@upm.edu.my
Received date: 13 April 2018
Accepted date: 15 January 2019
Abstract:
We consider a heat conductivity equation with boundary control. The problems of strong and weak invariance of constant multi-valued mapping are analyzed for this equation. The control function is given on the boundary and the problem is studied under various constraints on
control. We obtain sufficient conditions of strong and weak invariance for the given multi-valued mapping.
Keywords: Invariant set, control, multi-valued mapping, systems with distributed parameters
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