A version of a theorem of R. Datko for nonuniform exponential contractions

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• 作者：Ciprian Preda^a ; ^{preda@math.cornell.edu"" rel=""nofollow} ; Petre Preda^b ; ^{preda@math.uvt.ro"" rel=""nofollow} ; Aurelian Craciunescu^b
• 关键词：Datko ; //www.sciencedirect.com/scidirimg/entities/2bc.gif"" alt=""modifier letter apostrophe"" title=""modifier letter apostrophe"" border=""0"">s theorem ; Nonuniform exponential contractions
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2012
• 出版时间：1 January 2012
• 年：2012
• 卷：385
• 期：1
• 页码：572-581
• 全文大小：178 K

文摘

We point out versions of a well-known theorem of R. Datko for nonuniform exponential contractions. More precisely, we obtain theorems that characterize the nonuniform exponential stability and the nonuniform exponential dichotomy for nonuniform exponential contractions. Thus, we generalize the results in Datko (1972) [8] and Preda and Megan (1985) [14].