Multiplicative Perturbations of Convoluted -Cosine Functions and Convoluted -SemigroupsReport as inadecuate

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Journal of Function Spaces and ApplicationsVolume 2013 2013, Article ID 426459, 9 pages

Research Article

School of Mathematics, Yunnan Normal University, Kunming 650092, China

Department 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.

Author: Fang Li, Huiwen Wang, and Jun Zhang



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