For a class of lower semicontinuous differential inclusions with nonclosed, non-convex right hand side, the set of solutions is proved to be nonempty and connected. Existence of periodic solutions is also studied. Our results apply, in particular, to the problem x˙ ∈ ext F(x) ∩ int G(x), the right hand side being the intersection of the extreme and the interior points of two continuous multifunctions with compact, convex values.
|Original language||English (US)|
|Number of pages||6|
|Journal||Differential and Integral Equations|
|State||Published - Jan 1 1990|
All Science Journal Classification (ASJC) codes
- Applied Mathematics