On some class of quasilinear hyperbolic systems of partial differential-functional equations of the first order
Jan Turo (1986)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Existence and uniqueness of solutions of quasilinear hyperbolic systems of partial differential-functional equations”
On some class of quasilinear hyperbolic systems of partial differential-functional equations of the first order
On the existence of generalized solutions of nonlinear first order partial differential-functional equations in two independent variables
Tomasz Człapiński (1991)
Czechoslovak Mathematical Journal
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The Cauchy problem for hyperbolic systems with Hölder continuous coefficients with respect to the time variable
Kunihiko Kajitani, Yasuo Yuzawa (2006)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We discuss the local existence and uniqueness of solutions of certain nonstrictly hyperbolic systems, with Hölder continuous coefficients with respect to time variable. We reduce the nonstrictly hyperbolic systems to the parabolic ones and by use of the and the Banach scale method we construct a semi-group which gives a representation of the solution to the Cauchy problem.