Approximate Controllability of Semilinear Impulsive Evolution Equations

Hugo Leiva

Abstract and Applied Analysis, 2015, vol. 2015, 1-7

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 .

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:797439

DOI: 10.1155/2015/797439

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