| Reference |
1. Rozhdestvenskyy B.L., Yanenko N.N. The systems of the guasi-linear equations and their application
to gas dynamics. – M.: Nauka, 1978. – 592 p. (in Russian)
2. Li Ta-tsien. Global classical solutions for quasilinear hyperbolic systems. – New York: Masson, 1994. –
315 p.
3. Kulikovskiy A.G., Pogorelov N.V., Semenov A.Yu. Mathematical questions of the calculation solution
of the hyperbolic systems. – M.: Fizmatlit, 2001. – 608 p. (in Russian)
4. Arguchintsev A.V. Optimization of the hyperbolic systems. – M.:FIZMATLIT, 2007. – 168 p. (in Russian)
5. Lax P.D. Hyperbolic differentiation partial equations. – M.-Izhevsk: NIZ “Regular and chaotic dynamics”,
2010. – 296 p. (in Russian)
6. Kuznetsov N.N. About hyperbolic systems of linear equations with disconected coefficients// ZHVM &
MF. – 1963. – V.3, №2. – P. 299–313. (in Russian)
7. Mel’nyk Z.O., Myshkis A.D. The mixed problem for a two-dimensional first-order hyperbolic system with
disconected coefficients// Mat. Sborn. – 1965. – V.68, №4. – P. 632–638. (in Russian)
8. Mel’nyk Z.O. An example of the nonclassical boundary problem for the fluctuation string equation// Ukr.
Mat. Zhurn. – 1980. – V.32, №5. – P. 671–674. (in Russian)
9. Mel’nyk Z.O. Problems with integral limitations for general two-dimensional hyperbolic systems and
equations// Diff. uravn. – 1985. – V.21, №2. – P. 246–253. (in Russian)
10. Sydorenko A.D. The problem with contact discontinuity for a system of three quasi-linear equations//
Diff. uravn. – 1978. – V.14, №4. – P. 774–777. (in Russian)
11. Andrusyak R.V., Kyrylych V.M. The problem for a quasi-linear system of the hyperbolic type in the
curvilinear sector with free boundaries// Nauk. Visn. Cherniv. Univ. Mathematics. – 2008. – V.421. –
P. 5–12. (in Ukrainian)
12. Mel’nyk T.E. The conjugation of solutions of the second-order hyperbolic equation along unknown
boundary// Doklady AN USSR. – 1980. – Ser. A, №12. – P. 10–12. (in Russian)
13. Kazakov K.Yu., Morozov S.F. About the detection of the unknown line of the solution discontinuity of
mixed problem for a quasi-linear hyperbolic system// Ukr. Mat. Zhurn. – 1985. – V.37, №4. – P. 443–450.
(in Russian)
14. Bassanini P., Turo J. Generalized solutions to free boundary problems for hyperbolic systems of functional
partial differential equations// Ann. Math. Pura Appl. – 1990. – V.156, №4. – P. 211–230.
15. Kyrylych V.M. Some nonlinear problems with free boundaries for hyperbolic systems of quasi-linear
equations// Visn. Lviv. Univ. Ser. Mech.-Mat. – 2009. – V.71. – P. 125–134. (in Ukrainian)
16. Andrusyak R.V., Burdeyna N.O., Kyrylych V.M. Classical solvability of the moving boundary problem
for hyperbolic systems of quasi-linear equations// Ukr. Mat. Zhurn. – 2009. – V.61, №7. – P. 867–891.
(in Ukrainian)
17. Andrusyak R.V., Burdeyna N.O., Kyrylych V.M. Quasi-linear hyperbolic Stefan problem with nonlocal
boundary conditions// Ukr. Mat. Zhurn. – 2010. – V.62, №9. – P. 1173–1199. (in Ukrainian)
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