本文根据巴拿赫序列空间和巴拿赫函数空间分别给出了线性斜演化半流一致指数膨胀的充要条件,所得结论推广了已有结果(如Rolewicz,Hai,Megan,Sasu等).
We give necessary and sufficient conditions for uniform exponential expansiveness of linear skew-evolution semiflows in terms of Banach sequence spaces and Banach function spaces,respectively.Thus we obtain generalizations of some well-known results due to Rolewicz,Hai,Megan,Sasu in the case of uniform exponential expansiveness of linear skew-evolution semiflows in Banach spaces.