The uniform convergence of the eigenfunctions expansions of the biharmonic operator in closed domain
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...
| Main Authors: | , , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IOP Publishing
2017
|
| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/30527/1/The%20uniform%20convergence%20of%20the%20eigenfunctions%20expansions.pdf |
| _version_ | 1825813699843063808 |
|---|---|
| author | Ahmedov, Anvarjon A. Siti Nor Aini, Mohd Aslam Siti Fatimah, Ahmad Zabidi |
| author_facet | Ahmedov, Anvarjon A. Siti Nor Aini, Mohd Aslam Siti Fatimah, Ahmad Zabidi |
| author_sort | Ahmedov, Anvarjon A. |
| collection | UMP |
| description | 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. |
| first_indexed | 2024-03-06T12:47:54Z |
| format | Conference or Workshop Item |
| id | UMPir30527 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T12:47:54Z |
| publishDate | 2017 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | UMPir305272021-02-08T03:02:49Z http://umpir.ump.edu.my/id/eprint/30527/ The uniform convergence of the eigenfunctions expansions of the biharmonic operator in closed domain Ahmedov, Anvarjon A. Siti Nor Aini, Mohd Aslam Siti Fatimah, Ahmad Zabidi QA Mathematics T Technology (General) 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. IOP Publishing 2017-09-21 Conference or Workshop Item PeerReviewed pdf en cc_by http://umpir.ump.edu.my/id/eprint/30527/1/The%20uniform%20convergence%20of%20the%20eigenfunctions%20expansions.pdf 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) (Published) https://doi.org/10.1088/1742-6596/890/1/012028 |
| spellingShingle | QA Mathematics T Technology (General) Ahmedov, Anvarjon A. Siti Nor Aini, Mohd Aslam Siti Fatimah, Ahmad Zabidi The uniform convergence of the eigenfunctions expansions of the biharmonic operator in closed domain |
| title | The uniform convergence of the eigenfunctions expansions of the biharmonic operator in closed domain |
| title_full | The uniform convergence of the eigenfunctions expansions of the biharmonic operator in closed domain |
| title_fullStr | The uniform convergence of the eigenfunctions expansions of the biharmonic operator in closed domain |
| title_full_unstemmed | The uniform convergence of the eigenfunctions expansions of the biharmonic operator in closed domain |
| title_short | The uniform convergence of the eigenfunctions expansions of the biharmonic operator in closed domain |
| title_sort | uniform convergence of the eigenfunctions expansions of the biharmonic operator in closed domain |
| topic | QA Mathematics T Technology (General) |
| url | http://umpir.ump.edu.my/id/eprint/30527/1/The%20uniform%20convergence%20of%20the%20eigenfunctions%20expansions.pdf |
| work_keys_str_mv | AT ahmedovanvarjona theuniformconvergenceoftheeigenfunctionsexpansionsofthebiharmonicoperatorincloseddomain AT sitinorainimohdaslam theuniformconvergenceoftheeigenfunctionsexpansionsofthebiharmonicoperatorincloseddomain AT sitifatimahahmadzabidi theuniformconvergenceoftheeigenfunctionsexpansionsofthebiharmonicoperatorincloseddomain AT ahmedovanvarjona uniformconvergenceoftheeigenfunctionsexpansionsofthebiharmonicoperatorincloseddomain AT sitinorainimohdaslam uniformconvergenceoftheeigenfunctionsexpansionsofthebiharmonicoperatorincloseddomain AT sitifatimahahmadzabidi uniformconvergenceoftheeigenfunctionsexpansionsofthebiharmonicoperatorincloseddomain |