Properties of the solution set of a generalized differential equation-Reference-Cited by-同舟云学术

Properties of the solution set of a generalized differential equation

Published:1972-06 Issue:3 Volume:6 Page:379-398
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Davy J.L.

Abstract

We prove that the solution set of a generalized differential equation is connected and that points on the boundary of the solution funnel are peripherally attainable. This is done without the additional assumption of continuity in the state variable required in previous results. The result on upper semicontinuity of the solution set with respect to initial conditions is extended to include variations of initial time.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

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