Generalized solutions of first order partial differential functional inequalities
Commentationes Mathematicae, Tome 46 (2006) no. 1, pp. 25-36.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

The paper deals with initial boundary value problems for nonlinear first order partial differential functional equations. A theorem on the uniqueness of generalized solutions is proved. It is based on a comparison result for functional differential inequalities in the Carathéodory sense. A theorem on generalized solutions of functional differential inequalities is presented.
DOI : 10.14708/cm.v46i1.5206
Mots-clés : initial boundary value problems, partial functional differential inequalities, Carathéodory solutions, uniqueness, bicharacteristics
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Wojciech Czernous. Generalized solutions of first order partial differential functional inequalities. Commentationes Mathematicae, Tome 46 (2006) no. 1, pp.  25-36. doi : 10.14708/cm.v46i1.5206. http://geodesic.mathdoc.fr/articles/10.14708/cm.v46i1.5206/

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