Mykola Bokalo, Andrii Tsebenko
Abstract:
We consider an optimal control problem for systems described by a Fourier
problem for parabolic equations. We prove the existence of solutions, and
obtain necessary conditions of the optimal control in the case of final
observation when the control functions occur in the coefficients.
Submitted December 7, 2016. Published March 14, 2017.
Math Subject Classifications: 35K10, 49J20, 58D25.
Key Words: Optimal control; problems without initial conditions;
evolution equation.
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Mykola Bokalo Department of Differential Equations Ivan Franko National University of Lviv Lviv, Ukraine email: mm.bokalo@gmail.com | |
Andrii Tsebenko Department of Differential Equations Ivan Franko National University of Lviv Lviv, Ukraine email: amtseb@gmail.com |
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