Representation of solutions of the Lamé–Navier system by endomorphisms on quaternions

• Date: 2024
• Main Author: Dinh, Doan Cong
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2024
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7518
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.54 Solutions of the Lamé–Navier system in $\mathbb{R}^3$ are given in real analysis and in quatenionic analysis in different forms. We introduce a new method of using endomorphisms on quaternions with an aim to represent these solutions.