Displaying similar documents to “On the solvability of the multidimensional version of the first Darboux problem for a model second-order degenerating hyperbolic equation.”

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

Tomasz Człapiński (1992)

Annales Polonici Mathematici

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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.