Geodesic
Cauchy problem for derivors in finite dimension
Electronic Journal of Differential Equations, Tome 2001 (2001).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper we study the uniqueness of solutions to ordinary differential equations which fail to satisfy both accretivity condition and the uniqueness condition of Nagumo, Osgood and Kamke. The evolution systems considered here are governed by a continuous operators $A$ defined on $\mathbb{R}^N$ such that $A$ is a derivor; i.e., $-A$ is quasi-monotone with respect to $(\mathbb{R}^{+})^N$.
Classification : 34A12, 34A40, 34A45, 34D05
Keywords: derivor, quasimonotone operator, accretive operator, Cauchy problem, uniqueness condition 
@article{EJDE_2001__2001__a49,
     author = {Couchouron, Jean-Fran\c{c}ois and Dellacherie, Claude and Grandcolas, Michel},
     title = {Cauchy problem for derivors in finite dimension},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2001},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a49/}
}
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Couchouron, Jean-François; Dellacherie, Claude; Grandcolas, Michel. Cauchy problem for derivors in finite dimension. Electronic Journal of Differential Equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a49/