| Volume 6, Number 2, 2016, Pages 492-514 DOI：10.11948/2016036 |
| Approximate ontrollability of second order impulsive functional differential system with infinite delay in Banach spaces |
| Meili Li,Junling Ma |
| Keywords:Approximate controllability, strongly continuous cosine families of operators, impulsive functional differential system, infinite delay |
| 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 |
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