Generalized solutions to boundary value problems for quasilinear hyperbolic systems of partial differential-functional equations
Annales Polonici Mathematici, Tome 57 (1992) no. 2, pp. 177-191
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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:
differential-functional system, second canonical form, generalized solutions
Affiliations des auteurs :
Tomasz Człapiński 1
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author = {Tomasz Cz{\l}api\'nski},
title = {Generalized solutions to boundary value problems for quasilinear hyperbolic systems of partial differential-functional equations},
journal = {Annales Polonici Mathematici},
pages = {177--191},
publisher = {mathdoc},
volume = {57},
number = {2},
year = {1992},
doi = {10.4064/ap-57-2-177-191},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-57-2-177-191/}
}
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Tomasz Człapiński. Generalized solutions to boundary value problems for quasilinear hyperbolic systems of partial differential-functional equations. Annales Polonici Mathematici, Tome 57 (1992) no. 2, pp. 177-191. doi: 10.4064/ap-57-2-177-191
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