The uniform convergence of the eigenfunctions expansions of the biharmonic operator in closed domain

Ahmedov, Anvarjon A. and Siti Nor Aini, Mohd Aslam and Siti Fatimah, Ahmad Zabidi (2017) The uniform convergence of the eigenfunctions expansions of the biharmonic operator in closed domain. In: Journal of Physics: Conference Series, 1st International Conference on Applied and Industrial Mathematics and Statistics (ICoAIMS 2017), 8-10 August 2017 , Kuantan, Pahang, Malaysia. pp. 1-8., 890 (012028). ISSN 1742-6588 (print); 1742-6596 (online)

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The mathematical models of the various vibrating systems are partial differential equations and finding the solutions of such equations are obtained by developing the theory of eigenfunction expansions of differential operators. The biharmonic equation which is fourth order differential equation is encountered in plane problems of elasticity. It is also used to describe slow flows of viscous incompressible fluids. Many physical process taking place in real space can be described using the spectral theory of differentiable operators, particularly biharmonic operator. In this paper, the problems on the uniform convergence of eigenfunction expansions of the functions from Nikolskii classes corresponding to the biharmonic operator are investigated.

Item Type: Conference or Workshop Item (Lecture)
Additional Information: Indexed by Scopus
Uncontrolled Keywords: Boundary value problems; Expansion; Mathematical operators; Partial differential equations
Subjects: Q Science > QA Mathematics
T Technology > T Technology (General)
Faculty/Division: Faculty of Industrial Sciences And Technology
Depositing User: Mrs Norsaini Abdul Samat
Date Deposited: 08 Feb 2021 03:02
Last Modified: 08 Feb 2021 03:02
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