Abstract
In this paper, we study the approximate controllability of semilinear impulsive functional differential inclusions with nonlocal conditions. Analytic semigroup theory and α-norm arguments are employed to ensure that the obtained results can be applied to the systems involving spatial derivatives. In particular, the compactness condition or Lipschitz condition for the function g in the nonlocal conditions appearing in literature is not required here. An example is provided to illustrate the application of the obtained results.
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This work was partially supported by NSF of Shanghai (No. 09ZR1408900) and Shanghai Leading Academic Discipline Project (No. B407).
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Fu, X. Approximate controllability for neutral impulsive differential inclusions with nonlocal conditions. J Dyn Control Syst 17, 359–386 (2011). https://doi.org/10.1007/s10883-011-9126-z
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DOI: https://doi.org/10.1007/s10883-011-9126-z