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தொகுதி 14, பிரச்சினை 1 (2020)

தலையங்கம்

Editorial Note for Generalized Lie Theory and Applications

Cristina

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.

கட்டுரையை பரிசீலி

On the Eight Dimensional Point Symmetries of Second Order Linear O.D.E's

Uchechukwu Opara

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.

ஆய்வுக் கட்டுரை

Universality of Affine Semigroups on Supercyclicity of the Sequence Operators

Mortada Saeed , Simon Joseph, Ahmed Sufyan

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

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