Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2007, Number 3, Pages 35–48 (Mi basm72)  
A characterization of the solutions of the darboux problem for third order hyperbolic inclusions

Georgeta Teodoru

Department of Mathematics, Technical University "Gh. Asachi" Iaşi, Iaşi, România
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Abstract: In this paper we consider the Darboux Problem for a third order hyperbolic inclusion of the form $u_{xyz}\in F (x,y,z,u)$ and we prove a characterization of the solutions of the considered problem using the Aumann integral defined for multifunctions.
Keywords and phrases: Multifunction, hyperbolic inclusion, upper semi-continuity, initial values, absolutely continuous in Carathéodory's sense function, Aumann integral.
Received: 04.10.2006
Bibliographic databases:
MSC: 35L30, 35R70, 47H10
Language: English
Citation: Georgeta Teodoru, “A characterization of the solutions of the darboux problem for third order hyperbolic inclusions”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2007, no. 3, 35–48
Citation in format AMSBIB
\Bibitem{Teo07}
\by Georgeta~Teodoru
\paper A~characterization of the solutions of the darboux problem for third order hyperbolic inclusions
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2007
\issue 3
\pages 35--48
\mathnet{http://mi.mathnet.ru/basm72}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2371567}
\zmath{https://zbmath.org/?q=an:1140.35507}
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