Banach空间中演化算子族的弱指数不稳定性

Banach function spaces and w eak exponential instability of evolution families

给出了Banach空间中演化算子的弱指数不稳定性的概念、演化算子的弱指数不稳定性的一些性质以及判断演化算子族弱指数不稳定的充要条件。得到了稳定性理论中的经典结论在弱指数不稳定性下的变形。

The concept of weak exponential instability for evolution families in Banach spaces is presented.Some prop-erty of weak exponential expansiveness for evolution families and the necessary and sufficient conditions concerning the weak exponential instability are given in Banach spaces.Variants of Datko result for weak exponential instability of a well-known result from is obtained in the stability theory.