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ЖУРНАЛЫ // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Архив

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2007, номер 3, страницы 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

Аннотация: 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.

Ключевые слова и фразы: Multifunction, hyperbolic inclusion, upper semi-continuity, initial values, absolutely continuous in Carathéodory's sense function, Aumann integral.

MSC: 35L30, 35R70, 47H10

Поступила в редакцию: 04.10.2006

Язык публикации: английский



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