an:02186185
Zbl 1089.47031
Bu??e, Constantin
A characterization of exponential stability for periodic evolution families in terms of lower semicontinuous functionals
EN
Electron. J. Qual. Theory Differ. Equ. 2003, Suppl., Paper No. 5, 7 p. (2003).
00117393
2003
j
47D03 47A10
one-periodic evolution family; exponential stability; bounded linear operator
In the present paper, the author investigates the exponential stability of 1-periodic evolution families in a Banach space. He uses lower semicontinuous functionals to give a characterisation of exponential stability and extends \textit{J.~van Neerven's} result [Integral Equations Oper.\ Theory, 4, 482--492 (2002; Zbl 1040.47033)] to 1-periodic evolution families of bounded linear operators.
Gen Qi Xu (Tianjin)
Zbl 1040.47033