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

Doan Cong Dinh

doi:10.3842/umzh.v76i7.7518

Doan Cong Dinh School of Applied Mathematics and Informatics, Hanoi University of Science and Technology, Vietnam

DOI: https://doi.org/10.3842/umzh.v76i7.7518

Keywords: Endomorphisms on Quaternions, Lamé-Navier system,\break Quaternion analysis, integral representation

Abstract

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.

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