Geodesic
Cauchy problem for derivors in finite dimension
Electronic journal of differential equations, Tome 2001 (2001)
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__a205,
     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},
     year = {2001},
     volume = {2001},
     zbl = {0978.34003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a205/}
}
TY  - JOUR
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AU  - Dellacherie,  Claude
AU  - Grandcolas,  Michel
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JO  - Electronic journal of differential equations
PY  - 2001
VL  - 2001
UR  - http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a205/
LA  - en
ID  - EJDE_2001__2001__a205
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%A Dellacherie,  Claude
%A Grandcolas,  Michel
%T Cauchy problem for derivors in finite dimension
%J Electronic journal of differential equations
%D 2001
%V 2001
%U http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a205/
%G en
%F EJDE_2001__2001__a205
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__a205/