A Priori estimates for solutions of differential inclusions

Ovidiu Carja; Victor Postolache

doi:10.3934/proc.2011.2011.258

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2011, Volume 2011: 258-264. Doi: 10.3934/proc.2011.2011.258 open access

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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
2.
University Al. I. Cuza, Bd. CAROL I, no. 11, Iasi, 700506

Received: June 30, 2010

Revised: March 31, 2011

Published: August 2017

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Abstract

We get a priori estimates for solutions of dierential 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.

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Mathematics Subject Classification: Primary: 34A40; Secondary: 34C11, 35B45.

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