Optimal control problem for quasilinear hyperbolic system: the Slutsky equation (in Ukrainian) |
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| Author |
taras_derevianko@ukr.net
Ivan Franko National University of Lviv
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| Abstract |
A model for determination the change of demand for goods at the change of price on
commodities and capital of consumer is constructed. This model is described by a system of
quasi-linear hyperbolic, which is written in Riemann invariants. Using the results of theory of
ordinary differential equations with parameters we prove the existence of a classical solution to
mixed hyperbolic problem. Also applying the method of linearization and non-classical internal
variation the necessary optimality conditions for finding a given level of demand at the change
of price on commodities and capital of consumer are shown.
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| Keywords |
Slutsky demand; quasilinear hyperbolic system; necessary optimality conditions
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| DOI |
doi:10.15330/ms.43.1.66-77
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| Reference |
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| Pages |
66-77
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| Volume |
43
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| Issue |
1
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| Year |
2015
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |