Abstract:In this paper the existence conditions for uniform exponential expansiveness of linear skew-product semiflows are studied in Hilbert spacesbased on the definition of linear skew-product semiflows. Several continuous-time Lyapunov operator inequalities for uniform exponential expansiveness are obtained via functional analysis and operator theory. The Lyapunov type results extend some well-known conclusions in exponential stability theory and exponential expansiveness theory.
岳 田. Hilbert空间上线性斜积半流的一致指数膨胀性的存在条件[J]. 华中师范大学学报(自然科学版), 2019, 53(6): 876-878.
YUE Tian. Criteria for the existence of uniform exponential expansiveness of linear skew-product semiflows in Hilbert spaces. journal1, 2019, 53(6): 876-878.