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

A Priori estimates for solutions of differential inclusions

Ovidiu Carja 1, and  Victor Postolache 2,

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.
Keywords: Di erential inclusions, a priori estimates, global solutions.
Mathematics Subject Classification: Primary: 34A40; Secondary: 34C11, 35B45.
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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