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ArticleOriginal scientific text

Title

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

Authors 1

Affiliations

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

Abstract

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.

Keywords

ENG
differential-functional system, second canonical form, generalized solutions

Bibliography

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Annales Polonici Mathematici
1992/57/2
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Pages:
177-191
Main language of publication
English
Received
1991-11-04
Accepted
1992-02-15
Published
1992
Exact and natural sciences