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Approximate Controllability of Semilinear Impulsive Evolution Equations

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  • Hugo Leiva

Abstract

We prove the approximate controllability of the following semilinear impulsive evolution equation: where , and are Hilbert spaces, , is a bounded linear operator, are smooth functions, and is an unbounded linear operator in which generates a strongly continuous semigroup . We suppose that is bounded and the linear system is approximately controllable on for all . Under these conditions, we prove the following statement: the semilinear impulsive evolution equation is approximately controllable on .

Suggested Citation

  • Hugo Leiva, 2015. "Approximate Controllability of Semilinear Impulsive Evolution Equations," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-7, April.
    • Handle: RePEc:hin:jnlaaa:797439
    DOI: 10.1155/2015/797439
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