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Journal of Function Spaces and Applications
Volume 2013, Article ID 426459, 9 pages
Research Article

Multiplicative Perturbations of Convoluted -Cosine Functions and Convoluted -Semigroups

1School of Mathematics, Yunnan Normal University, Kunming 650092, China
2Department of Mathematics, Central China Normal University, Wuhan 430079, China

Received 3 January 2013; Accepted 8 February 2013

Academic Editor: Ti J. Xiao

Copyright © 2013 Fang Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We obtain the multiplicative perturbation theorems for convoluted -cosine functions (resp., convoluted -semigroups) and -times integrated -cosine functions (resp., -times integrated -semigroups) for . Moreover, we obtain some new results for perturbations on -cosine functions (resp., -semigroups). Some examples are presented.