Nonlocal problem for the hyperbolic system of differential equation of the first order.
Zarȩba, Lech (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Zarȩba, Lech (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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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.
The, Dennis (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Jokhadze, O. (1998)
Georgian Mathematical Journal
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Jokhadze, O. (1995)
Georgian Mathematical Journal
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Gołaszewska, Agata, Turo, Jan
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Frigerio, Roberto (2006)
Algebraic & Geometric Topology
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Mahmood Jokar, Mehrdad Lakestani (2012)
Kybernetika
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A numerical technique is presented for the solution of second order one dimensional linear hyperbolic equation. This method uses the trigonometric wavelets. The method consists of expanding the required approximate solution as the elements of trigonometric wavelets. Using the operational matrix of derivative, we reduce the problem to a set of algebraic linear equations. Some numerical example is included to demonstrate the validity and applicability of the technique. The method produces...