TY - JOUR
AU - Shaw,  Sen-Yen
AB - We prove general theorems on mean ergodicity and mean stability of regularized solution families with respect to fairly general summability methods. They can be applied to integrated solution families, integrated semigroups and cosine functions. In particular, through applications with modified Cesàro, Abel, Gauss, and Gamma like summability methods we deduce particular results on mean ergodicity and mean stability of polynomially bounded C 0 -semigroups and cosine operator functions.
TI - Mean Ergodicity and Mean Stability of Regularized Solution Families
JF - Mediterranean Journal of Mathematics
DO - 10.1007/s00009-004-0010-x
DA - 2004-04-01
UR - https://www.deepdyve.com/lp/springer-journals/mean-ergodicity-and-mean-stability-of-regularized-solution-families-Aa0uBEK9lB
SP - 175
EP - 193
VL - 1
IS - 2
DP - DeepDyve
ER -