On stability of $N$-times integrated semigroups with nonquasianalytic   growth
  We discuss the behaviour at infinity of $n$-times integrated semigroups with nonquasianalytic growth and invertible generator. The results obtained extend in this setting a theorem of O. El Mennaoui on stability of bounded once integrated semigroups, and (partially) a theorem of Q. P. V$\tilde{\rm u}$ on stability of $C_0$-semigroups. 
Jos\'e E. Gal\'e, Mar\'ia M. Mart\'inez and Pedro J. Miana
math.FA