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1. Cauchy problem for derivors in finite dimension

Author

Jean-Francois Couchouron, Claude Dellacherie, and Michel Grandcolas

Subjects
derivor, quasimonotone operator, accretive operator, Cauchy problem, uniqueness condition., Mathematics, QA1-939
Abstract

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 $(mathbb{R}^{+})^N$.

Published
2001

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