Multiplicative Perturbations of Convoluted C-Cosine Functions and Convoluted C-Semigroups

We obtain the multiplicative perturbation theorems for convoluted C-cosine functions (resp., convoluted C-semigroups) and n-times integrated C-cosine functions (resp., n-times integrated C-semigroups) for n∈ℕ. Moreover, we obtain some new results for perturbations on C-cosine functions (resp., C-sem...

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Main Authors: Fang Li, Huiwen Wang, Jun Zhang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/426459
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author Fang Li
Huiwen Wang
Jun Zhang
author_facet Fang Li
Huiwen Wang
Jun Zhang
author_sort Fang Li
collection DOAJ
description We obtain the multiplicative perturbation theorems for convoluted C-cosine functions (resp., convoluted C-semigroups) and n-times integrated C-cosine functions (resp., n-times integrated C-semigroups) for n∈ℕ. Moreover, we obtain some new results for perturbations on C-cosine functions (resp., C-semigroups). Some examples are presented.
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institution Kabale University
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series Journal of Function Spaces and Applications
spelling doaj-art-9aad2eaf45544159b8a8e900ca9b71992025-02-03T01:02:17ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/426459426459Multiplicative Perturbations of Convoluted C-Cosine Functions and Convoluted C-SemigroupsFang Li0Huiwen Wang1Jun Zhang2School of Mathematics, Yunnan Normal University, Kunming 650092, ChinaSchool of Mathematics, Yunnan Normal University, Kunming 650092, ChinaDepartment of Mathematics, Central China Normal University, Wuhan 430079, ChinaWe obtain the multiplicative perturbation theorems for convoluted C-cosine functions (resp., convoluted C-semigroups) and n-times integrated C-cosine functions (resp., n-times integrated C-semigroups) for n∈ℕ. Moreover, we obtain some new results for perturbations on C-cosine functions (resp., C-semigroups). Some examples are presented.http://dx.doi.org/10.1155/2013/426459
spellingShingle Fang Li
Huiwen Wang
Jun Zhang
Multiplicative Perturbations of Convoluted C-Cosine Functions and Convoluted C-Semigroups
Journal of Function Spaces and Applications
title Multiplicative Perturbations of Convoluted C-Cosine Functions and Convoluted C-Semigroups
title_full Multiplicative Perturbations of Convoluted C-Cosine Functions and Convoluted C-Semigroups
title_fullStr Multiplicative Perturbations of Convoluted C-Cosine Functions and Convoluted C-Semigroups
title_full_unstemmed Multiplicative Perturbations of Convoluted C-Cosine Functions and Convoluted C-Semigroups
title_short Multiplicative Perturbations of Convoluted C-Cosine Functions and Convoluted C-Semigroups
title_sort multiplicative perturbations of convoluted c cosine functions and convoluted c semigroups
url http://dx.doi.org/10.1155/2013/426459
work_keys_str_mv AT fangli multiplicativeperturbationsofconvolutedccosinefunctionsandconvolutedcsemigroups
AT huiwenwang multiplicativeperturbationsofconvolutedccosinefunctionsandconvolutedcsemigroups
AT junzhang multiplicativeperturbationsofconvolutedccosinefunctionsandconvolutedcsemigroups