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

作者：Preda Ciprian^*; Preda Petre; Craciunescu Aurelian

来源：Journal of Mathematical Analysis and Applications, 2012, 385(1): 572-581.

DOI：10.1016/j.jmaa.2011.06.082

• Datko's theorem
• Nonuniform exponential contractions

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) 181 and Preda and Megan (1985) 1141.

• 出版日期2012-1-1