On the estimation of the eigenfunctions of biharmonic operator in closed domain

In the current research, the sufficient conditions for uniform convergence of the eigenfunction expansions of the biharmonic operator in closed domain are investigated. The problems which appear in the study of various vibrating systems are the reasons to develop the theory of eigenfunction expansio...

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Main Authors:	Ahmedov, Anvarjon A., Siti Nor Aini, Mohd Aslam, Ibragimov, Gafurjan
Format:	Conference or Workshop Item
Language:	English
Published:	AIP Publishing 2018
Subjects:	QA Mathematics QC Physics
Online Access:	http://umpir.ump.edu.my/id/eprint/22954/ http://umpir.ump.edu.my/id/eprint/22954/ http://umpir.ump.edu.my/id/eprint/22954/1/On%20the%20estimation%20of%20the%20eigenfunctions%20of%20biharmonic%20operator%20in%20closed%20domain.pdf

id	ump-22954
recordtype	eprints
spelling	ump-229542019-06-11T06:29:39Z http://umpir.ump.edu.my/id/eprint/22954/ On the estimation of the eigenfunctions of biharmonic operator in closed domain Ahmedov, Anvarjon A. Siti Nor Aini, Mohd Aslam Ibragimov, Gafurjan QA Mathematics QC Physics In the current research, the sufficient conditions for uniform convergence of the eigenfunction expansions of the biharmonic operator in closed domain are investigated. The problems which appear in the study of various vibrating systems are the reasons to develop the theory of eigenfunction expansions of the biharmonic operators. Because of the mathematical description of the physical processes taking place in real space are based on the spectral theory of differential operators, particularly biharmonic operator. The biharmonic equation is encountered in plane problems of elasticity. It is also used to describe slow flows of viscous incompressible fluids. In this paper the uniform estimations for eigenfunctions of biharmonic operator is obtained using the resolvent operator of the biharmonic equations. In the future works the obtained estimation will be used to prove uniform convergence of eigenfunction expansions of biharmonic operator in closed domain. AIP Publishing 2018-06 Conference or Workshop Item PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/22954/1/On%20the%20estimation%20of%20the%20eigenfunctions%20of%20biharmonic%20operator%20in%20closed%20domain.pdf Ahmedov, Anvarjon A. and Siti Nor Aini, Mohd Aslam and Ibragimov, Gafurjan (2018) On the estimation of the eigenfunctions of biharmonic operator in closed domain. In: 25th National Symposium on Mathematical Sciences: Mathematical Sciences as the Core of Intellectual Excellence (SKSM 2017), 27-29 August 2017 , Kuantan, Pahang. , 1974. ISSN 0094-243X https://doi.org/10.1063/1.5041631
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Malaysia Pahang
building	UMP Institutional Repository
collection	Online Access
language	English
topic	QA Mathematics QC Physics
spellingShingle	QA Mathematics QC Physics Ahmedov, Anvarjon A. Siti Nor Aini, Mohd Aslam Ibragimov, Gafurjan On the estimation of the eigenfunctions of biharmonic operator in closed domain
description	In the current research, the sufficient conditions for uniform convergence of the eigenfunction expansions of the biharmonic operator in closed domain are investigated. The problems which appear in the study of various vibrating systems are the reasons to develop the theory of eigenfunction expansions of the biharmonic operators. Because of the mathematical description of the physical processes taking place in real space are based on the spectral theory of differential operators, particularly biharmonic operator. The biharmonic equation is encountered in plane problems of elasticity. It is also used to describe slow flows of viscous incompressible fluids. In this paper the uniform estimations for eigenfunctions of biharmonic operator is obtained using the resolvent operator of the biharmonic equations. In the future works the obtained estimation will be used to prove uniform convergence of eigenfunction expansions of biharmonic operator in closed domain.
format	Conference or Workshop Item
author	Ahmedov, Anvarjon A. Siti Nor Aini, Mohd Aslam Ibragimov, Gafurjan
author_facet	Ahmedov, Anvarjon A. Siti Nor Aini, Mohd Aslam Ibragimov, Gafurjan
author_sort	Ahmedov, Anvarjon A.
title	On the estimation of the eigenfunctions of biharmonic operator in closed domain
title_short	On the estimation of the eigenfunctions of biharmonic operator in closed domain
title_full	On the estimation of the eigenfunctions of biharmonic operator in closed domain
title_fullStr	On the estimation of the eigenfunctions of biharmonic operator in closed domain
title_full_unstemmed	On the estimation of the eigenfunctions of biharmonic operator in closed domain
title_sort	on the estimation of the eigenfunctions of biharmonic operator in closed domain
publisher	AIP Publishing
publishDate	2018
url	http://umpir.ump.edu.my/id/eprint/22954/ http://umpir.ump.edu.my/id/eprint/22954/ http://umpir.ump.edu.my/id/eprint/22954/1/On%20the%20estimation%20of%20the%20eigenfunctions%20of%20biharmonic%20operator%20in%20closed%20domain.pdf
first_indexed	2023-09-18T22:34:10Z
last_indexed	2023-09-18T22:34:10Z
_version_	1777416484540121088

On the estimation of the eigenfunctions of biharmonic operator in closed domain

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