Geodesic
On extremal solutions of differential equations with advanced argument
Commentationes Mathematicae, Tome 46 (2006) no. 1, pp. 17-14.

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

We obtain existence of absolutely continuous extremal solutions of the problem \(u'(x) = F(x, u(x), u(h(x)))\), \(u(0) = u_0\), and the Darboux problem for \(u_{xy}(x, y) = G(x, y, u(x, y), u(H(x, y)))\), where \(h\) and \(H\) are arbitrary continuous deviated arguments.
DOI : 10.14708/cm.v46i1.5205
Mots-clés : functional differential equations, advanced argument, extremal solutions, Darboux problem, Carathéodory condition 
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Antoni Augustynowicz; Jan Jankowski. On extremal solutions of differential equations with advanced argument. Commentationes Mathematicae, Tome 46 (2006) no. 1, pp.  17-14. doi : 10.14708/cm.v46i1.5205. http://geodesic.mathdoc.fr/articles/10.14708/cm.v46i1.5205/

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