Characterizations for the uniform exponential instability of evolution operators based on Lyapunov norms
YUE Tian1, HOU Jie2
1.School of Science, Hubei University of Automotive Technology, Shiyan, Hubei 442002, China;2.Department of Basis, Jiangsu Urban and Rural Construction College, Changzhou, Jiangsu 213147,China
Abstract:The Datko type criteria for uniform exponential instability of evolution operators in Banach spaces is obtained via Lyapunov norms. Variants for uniform exponential instability of some well-known results in stability theory are obtained.