Cauchy Problem for Serivors in Finite Dimension
Date
2001-05-08
Authors
Couchouron, Jean-Francois
Claude, Dellacherie
Grandcolas, Michel
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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 ℝN such that A is a derivor; i.e., -A is quasi-monotone with respect to (ℝ+)N.
Description
Keywords
Derivor, Quasimonotone operator, Accretive operator, Cauchy problem, Uniqueness condition
Citation
Couchouron, J. F., Claude, D., & Grandcolas, M. (2001). Cauchy problem for derivors in finite dimension. <i>Electronic Journal of Differential Equations, 2001</i>(32), pp. 1-19.