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Approximate controllability results of semilinear integrodifferential equations with infinite delays

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Abstract

We study the approximate controllability of control systems governed by a class of semilinear integrodifferential equations with infinite delays. Sufficient conditions for approximate controllability of semilinear control systems are established provided the approximate controllability of the corresponding linear control systems. The results are obtained by using fixed-point theorems and semigroup theory. As an illustration of the application of the approximate controllability results, a simple example is provided.

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Authors and Affiliations

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

    LianWen Wang

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  1. LianWen Wang
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Correspondence to LianWen Wang.

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Wang, L. Approximate controllability results of semilinear integrodifferential equations with infinite delays. Sci. China Ser. F-Inf. Sci. 52, 1095–1102 (2009). https://doi.org/10.1007/s11432-009-0127-4

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  • DOI: https://doi.org/10.1007/s11432-009-0127-4

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