American Institute of Mathematical Sciences

2011, 2011(Special): 258-264. doi: 10.3934/proc.2011.2011.258

A Priori estimates for solutions of differential inclusions

 1 Octav Mayer Mathematics Institute, Romanian Academy, Department of Mathematics, University Al. I. Cuza, Bd. CAROL I, no. 11 Iasi, 700506, Romania 2 University Al. I. Cuza, Bd. CAROL I, no. 11, Iasi, 700506, Romania

Received  July 2010 Revised  April 2011 Published  October 2011

We get a priori estimates for solutions of di erential inclusion $y' \in Ay + F(y)$, where $A$ generates a $C_0$-semigroup in a Banach space and $F$ is a multi-function. The existence of a global solution is also considered.
Citation: Ovidiu Carja, Victor Postolache. A Priori estimates for solutions of differential inclusions. Conference Publications, 2011, 2011 (Special) : 258-264. doi: 10.3934/proc.2011.2011.258
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