Approximate controllability and approximate null controllability of semilinear systems

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December 2006, 5(4): 953-962. doi: 10.3934/cpaa.2006.5.953

Approximate controllability and approximate null controllability of semilinear systems

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

Received October 2005 Revised June 2006 Published September 2006

Abstract
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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.

Keywords: mild solutions., approximate null controllability, integrodifferential equations, semilinear systems, Approximate controllability, exact null controllability.

Mathematics Subject Classification: Primary: 93B05, 93C10, 93C25; Secondary: 47J3.

Citation: Lianwen Wang. Approximate controllability and approximate null controllability of semilinear systems. Communications on Pure & Applied Analysis, 2006, 5 (4) : 953-962. doi: 10.3934/cpaa.2006.5.953

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