Approximate controllability and approximate null controllability of semilinear systems

Lianwen Wang

doi:10.3934/cpaa.2006.5.953

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2006, Volume 5, Issue 4: 953-962. Doi: 10.3934/cpaa.2006.5.953

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Approximate controllability and approximate null controllability of semilinear systems

Lianwen Wang^1,

1.
Department of Mathematics and Computer Science, Central Missouri State University, Warrensburg, MO 64093

Received: September 30, 2005

Revised: May 31, 2006

Published: November 2006

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Abstract

The approximate controllability and approximate null controllability of control systems governed by a class of abstract semilinear integrodifferential equations are discussed in this paper. Sufficient conditions for approximate controllability and approximate null controllability are obtained providing the approximate controllability and exact null controllability of the corresponding linear systems respectively. Finally, some examples are given to illustrate the application of the sufficient conditions.

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Mathematics Subject Classification: Primary: 93B05, 93C10, 93C25; Secondary: 47J35.

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