Approximate controllability for neutral impulsive differential inclusions with nonlocal conditions

In this paper, we study the approximate controllability of semilinear impulsive functional differential inclusions with nonlocal conditions. Analytic semigroup theory and á-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.