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Open Access Research Article

Solution of an inhomogeneous biharmonic equation in a multi-connected domain

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pp. 2639–2648Vol. 28Issue 7October 2025DOI: 10.47974/JIM-2237XML
Received:
04 Sep 2024
Published Online:
07 Oct 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-2237
Pages:
2639–2648

Abstract

This study aims to investigate the theoretical dimensions of employing inhomogeneous biharmonic equations in the modelling of plates and shells. The methodologies utilised include the analytical method, Green’s functions method, separation of variables method, and generalised functions method. In the course of the study, various aspects of solving inhomogeneous biharmonic equations in modelling plates and shells were considered. The possibility of using the obtained results in practical activities to design and analyse plates and shells will allow predicting and analysing the behaviour of materials, structures, and systems under the influence.

Keywords

Subject Classifications

31A3012H20

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