| Affiliation: | (1) Department of Applied Mathematics, National Chung-Hsing University, 402 Taichung, Taiwan;(2) Department of Mechanical Engineering, Lunghwa University of Science and Technology, 333 Taoyuan, Taiwan |
| Abstract: | We prove general theorems on mean ergodicity and mean stabilityof regularized solution families with respect to fairly general summabilitymethods. They can be applied to integrated solution families, integrated semigroupsand cosine functions. In particular, through applications with modifiedCesàro, Abel, Gauss, and Gamma like summability methods we deduce particularresults on mean ergodicity and mean stability of polynomially boundedC0-semigroups and cosine operator functions. |
