Zeitschrift für verallgemeinerte Lügentheorie und -anwendungen

The objective of Generalized Lie Theory and Applications is to publish up-to-date, high-quality and original research papers alongside relevant and insightful reviews.

The purpose of this paper is to review Sophus Lie's methods for differential equations, shedding light on the Lie point symmetries of generic linear second order ordinary
differential equations (O.D.E's). As a matter of necessity in the overall review, there are important contrasts highlighted in derivations of the infinitesimal generators, with and
without the prior application of point transformations.

In this paper, show that for all supercyclic strongly continuous sequence of operators semigroup acting on a complex F^j -space, every with ε > −1 is supercyclic. Furthermore, the set of supercyclic vectors of all with ε > −1 is precisely the set of supercyclic vectors of the plenary semigroup.