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.

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Attribution 4.0 International

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