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Existenz und Eindeutigkeit eines linearen hyperbolischen Anfangs‐Randwertproblems und die praktische Anwendung auf Probleme aus der Hydraulik. Teil I: Zur Existenz und Eindeutigkeit des linearen hyperbolischen Anfangs‐Randwertproblems
Author(s) -
Iben H. K.
Publication year - 1978
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19780580807
Subject(s) - philosophy , humanities , mathematics
For a linear hyperbolic mixed boundary value problem frequently occurring in the engineering science, the existence and uniqueness of a solution are proved. The complete, self‐contained and analytical solution of the problem are explicitly given. With a view to a correct indication of the problem, only such boundary conditions are permitted which are not in contradiction with the defined compatibility conditions.