科研之友
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摘要
In a Banach space X with uniformly convex dual, we study the evolution inclusion of the form , where A is an m-dissipative operator and F is an upper hemicontinuous multifunction with nonempty convex and weakly compact values. If X-* is uniformly convex and F is one-sided Perron with sublinear growth, then, we prove a variant of the well known Filippov-PliA > theorem. Afterward, sufficient conditions for near viability and (strong) invariance of a set are established. As applications, we derive epsilon - delta lower semicontinuity of the solution map and, consequently, the propagation of continuity of the minimum time function associated with the null controllability problem.
- 出版日期2013-7
