Stability of solution sets of differential inclusions. (English) Zbl 0851.34015

Kánnai, Zoltán; Tallos, Péter

Acta Sci. Math. 61, No. 1-4, 197-207 (1995).

A. Constantin [J. Differ. Equations 114, 243-252 (1994; Zbl 0808.34013)] proved the continuity of the solution map of an infinite time horizon differential inclusion by introducing an appropriate norm on the space of continuous functions. In the present paper, the authors extend this result under milder conditions, namely without making use of convexity or compactness of the right-hand side.
The norm they introduce on the space of solutions generates a stronger topology than that in Constantin’s paper.

Reviewer: D.Kravvaritis (Athens)

MSC:

34A60	Ordinary differential inclusions
47H04	Set-valued operators

Keywords:

continuity of the solution map; differential inclusion; topology

Citations:

Zbl 0808.34013