New criteria for uniform exponential stability of evolution operators in Banach spaces
YUE Tian1, SONG Xiaoqiu2
1.School of Science, Hubei University of Automotive Technology, Shiyan, Hubei 442002;2.School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116
Abstract:The new Datko type criteria for uniform exponential stability of evolution operators in Banach spaces is obtained via Lyapunov norms. Variants for uniform exponential stability of some well-known results in stability theory are obtained.