论文标题
广义进化半群和一般二分法
Generalized evolution semigroups and general dichotomies
论文作者
论文摘要
我们介绍了一类特殊的真实半流,该类型用于定义一般类型的进化半群,与不一定是指数界的进化族相关的。给出相应发电机的光谱特征,我们的结果直接适用于一类较广泛的二分法,例如具有时间变化速率的二分法。
We introduce a special class of real semiflows, which is used to define a general type of evolution semigroups, associated to not necessarily exponentially bounded evolution families. Giving spectral characterizations of the corresponding generators, our results directly apply to a wide class of dichotomies, such as those with time-varying rate of change.