Optimal control problem for a degenerate semilinear hyperbolic system of loaded equations of the first order
Derevyanko Taras
1
1 Department of mathematical economics, econometrics, financial and insurance mathematics, Ivan Franko National University of Lviv, Lviv, 79000, Ukraine
Keywords:
Optimal control problem, hyperbolic system
Abstract
We consider a control problem for a degenerated semilinear hyperbolic system of loaded equati-
ons in a half-strip. The system of equations under consideration has horizontal, vertical and sloping
characteristics. Applying the method of characteristics and the principle of contractive mappings
we find conditions for global generalized solvability of the hyperbolic problem. A necessary opti-
mality conditions for smooth boundary and initial controls in optimal control problem for loaded
semilinear hyperbolic system of the first order equations are deduced.
Cite
- ACS Style
- Derevyanko, T. Optimal control problem for a degenerate semilinear hyperbolic system of loaded equations of the first order. Bukovinian Mathematical Journal. 2016, 2
- AMA Style
- Derevyanko T. Optimal control problem for a degenerate semilinear hyperbolic system of loaded equations of the first order. Bukovinian Mathematical Journal. 2016; 2(4).
- Chicago/Turabian Style
- Taras Derevyanko. 2016. "Optimal control problem for a degenerate semilinear hyperbolic system of loaded equations of the first order". Bukovinian Mathematical Journal. 2 no. 4.
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