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Approximate ontrollability of second order impulsive functional differential system with infinite delay in Banach spaces
Authors:Meili Li and Junling Ma
Institution:School of Science, Donghua University, Shanghai, China 201620;Department of Mathematics and Statistics, University of Victoria, Victoria, BC, Canada V8W 2Y2 and Department of Mathematics and Statistics, University of Victoria, Victoria, BC, Canada V8W 2Y2
Abstract:This paper studies the approximate controllability of second order impulsive functional differential system with infinite delay in Banach spaces. Sufficient conditions are formulated and proved for the approximate controllability of such system under the assumption that the associated linear part of system is approximately controllable. The results are obtained by using strongly continuous cosine families of operators and the contraction mapping principle. An example is given to illustrate the obtained theory
Keywords:Approximate controllability  strongly continuous cosine families of operators  impulsive functional differential system  infinite delay
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