An extension of a theorem of E. A. Barbashin to the dichotomy of abstract evolution operators

作者：Preda Ciprian^*; Preda Petre

来源：Bulletin of the Belgian Mathematical Society Simon Stevin, 2010, 17(4): 705-715.

• evolution families
• uniform exponential dichotomy

A necessary and sufficient condition for the uniform exponential dichotomy is pointed out using a discrete-time argument. Thus are extended known results due to Barbashin [1], Datko [7], Lovelady [10], Pazy[13], Preda[14, 15, 16].

• 出版日期2010-12