Problem for a quasilinear system of hyperbolic type in a curvilinear sector with free boundaries
1 Department of Mathematical Statistics and Differential Equations, Ivan Franko National University of Lviv, Lviv, 79007, Ukraine
2 Department of mathematical economics, econometrics, financial and insurance mathematics, Ivan Franko National University of Lviv, Lviv, 79000, Ukraine
Keywords:
quasilinear system
Abstract
A problem for a quasi-linear hyperbolic first-order system in a curvilinear sector with free boundaries is investigated. By using the method of characteristics and the Banach fixed point theorem, we established conditions for existence and uniqueness of a generalized solution to this problem.
Cite
- ACS Style
- Andrusiak, R.V.; Kyrylych, V.M. Problem for a quasilinear system of hyperbolic type in a curvilinear sector with free boundaries. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Andrusiak RV, Kyrylych VM. Problem for a quasilinear system of hyperbolic type in a curvilinear sector with free boundaries. Bukovinian Mathematical Journal. 2018; 1(421).
- Chicago/Turabian Style
- Ruslan Vasyliovych Andrusiak, Volodymyr Mykhailovych Kyrylych. 2018. "Problem for a quasilinear system of hyperbolic type in a curvilinear sector with free boundaries". Bukovinian Mathematical Journal. 1 no. 421.
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