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# Approximate controllability and approximate null controllability of semilinear systems

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

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