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Approximate controllability of semilinear measure driven systems
Abstract:This paper investigates approximate controllability of semilinear measure driven equations in Hilbert spaces. By using the semigroup theory and Schauder fixed point theorem, sufficient conditions for approximate controllability of measure driven equations are established. The obtained results are a generalization and continuation of the recent results on this issue. Finally, an example is provided to illustrate the application of the obtained results.
Keywords:approximate controllability  C0‐semigroup  Lebesgue–  Stieltjes integrals  measure differential equations  regulated functions  26A42  34A38  34K30  93B05  93C25
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