Properties of the solution set of a generalized differential equation
- 1 June 1972
- journal article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 6 (3) , 379-398
- https://doi.org/10.1017/s0004972700044646
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.Keywords
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