Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-26T19:15:37.890Z Has data issue: false hasContentIssue false
  • English
  • Français

Ordinary differential equations and systems with time-dependent discontinuity sets

Published online by Cambridge University Press:  12 July 2007

J. Ángel Cid  and
Rodrigo L. Pouso
J. Ángel Cid
Affiliation:
Departamento de Análise Matemática, Facultade de Matemáticas, Campus Sur, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spainangelcid@usc.es
Rodrigo L. Pouso
Affiliation:
Departamento de Análise Matemática, Facultade de Matemáticas, Campus Sur, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spainrodrigolp@usc.es
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper we prove new existence results for non-autonomous systems of first order ordinary differential equations under weak conditions on the nonlinear part. Discontinuities with respect to the unknown are allowed to occur over general classes of time-dependent sets which are assumed to satisfy a kind of inverse viability condition.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 4 , August 2004 , pp. 617 - 637
Copyright
Copyright © Royal Society of Edinburgh 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)