Generalized solutions to boundary value problems for quasilinear hyperbolic systems of partial differential-functional equations

• Autorzy: Tomasz Człapiński
• Języki publikacji: EN

Abstrakty

EN

Generalized solutions to quasilinear hyperbolic systems in the second canonical form are investigated. A theorem on existence, uniqueness and continuous dependence upon the boundary data is given. The proof is based on the methods due to L. Cesari and P. Bassanini for systems which are not functional.

Słowa kluczowe

EN

differential-functional system; second canonical form; generalized solutions

Kategorie tematyczne

• 35L50: Initial-boundary value problems for first-order hyperbolic systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1992
• Tom: 57
• Numer: 2
• Strony: 177-191

Daty

wydano

1992

otrzymano

1991-11-04

poprawiono

1992-02-15

Twórcy

autor

Tomasz Człapiński

• Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

Bibliografia

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• [2] P. Bassanini, Iterative methods for quasilinear hyperbolic systems, ibid. (6) 1-B (1982), 225- 250.
• [3] P. Bassanini, The problem of Graffi-Cesari, in: Nonlinear Phenomena in Math. Sci., V. Lakshmikantham (ed.), Proc. Arlington 1980, Academic Press, 1982, 87-101.
• [4] P. Bassanini e E. Filliaggi, Schemi iterativi a accelerazione della convergenza per operatori di contrazione nel prodotto di due spazi di Banach, Atti Sem. Mat. Fis. Modena 28 (1979), 249-279.
• [5] L. Cesari, A boundary value problem for quasilinear hyperbolic systems, Riv. Mat. Univ. Parma 3 (1974), 107-131.
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