Lower Semicontinuous Differential Inclusions with State Constrains 1
نویسندگان
چکیده
The main purpose of the present paper is to impose onesided Lipschitz condition for differential inclusions on a closed and convex domain of a uniformly convex Banach space. Both differential inclusions with almost upper demicontinuous and almost lower semicontinuous right–hand sides are considered. The existence theorems are proved and it is shown that the set of solutions is connected. AMS Mathematics Subject Classification (1991): Primary: 34A20, Secondary: 34A60, 34E15
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