An Algebraic Method on the Eigenvalues and Stability of Delayed Reaction-Diffusion Systems
The eigenvalues and stability of the delayed reaction-diffusion systems are considered using the algebraic methods. Firstly, new algebraic criteria to determine the pure imaginary eigenvalues are derived by applying the matrix pencil and the linear operator methods. Secondly, a practical checkable c...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/412343 |
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| _version_ | 1832567183241117696 |
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| author | Jian Ma Baodong Zheng |
| author_facet | Jian Ma Baodong Zheng |
| author_sort | Jian Ma |
| collection | DOAJ |
| description | The eigenvalues and stability of the delayed reaction-diffusion systems are considered using the algebraic methods. Firstly, new algebraic criteria to determine the pure imaginary eigenvalues are derived by applying the matrix pencil and the linear operator methods. Secondly, a practical checkable criteria for the asymptotic stability are introduced. |
| format | Article |
| id | doaj-art-99ac8257dd7245abb2a894a4466a00d9 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-99ac8257dd7245abb2a894a4466a00d92025-02-03T01:02:10ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/412343412343An Algebraic Method on the Eigenvalues and Stability of Delayed Reaction-Diffusion SystemsJian Ma0Baodong Zheng1Department of Mathematics, Northeast Forestry University, Harbin 150040, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaThe eigenvalues and stability of the delayed reaction-diffusion systems are considered using the algebraic methods. Firstly, new algebraic criteria to determine the pure imaginary eigenvalues are derived by applying the matrix pencil and the linear operator methods. Secondly, a practical checkable criteria for the asymptotic stability are introduced.http://dx.doi.org/10.1155/2013/412343 |
| spellingShingle | Jian Ma Baodong Zheng An Algebraic Method on the Eigenvalues and Stability of Delayed Reaction-Diffusion Systems Discrete Dynamics in Nature and Society |
| title | An Algebraic Method on the Eigenvalues and Stability of Delayed Reaction-Diffusion Systems |
| title_full | An Algebraic Method on the Eigenvalues and Stability of Delayed Reaction-Diffusion Systems |
| title_fullStr | An Algebraic Method on the Eigenvalues and Stability of Delayed Reaction-Diffusion Systems |
| title_full_unstemmed | An Algebraic Method on the Eigenvalues and Stability of Delayed Reaction-Diffusion Systems |
| title_short | An Algebraic Method on the Eigenvalues and Stability of Delayed Reaction-Diffusion Systems |
| title_sort | algebraic method on the eigenvalues and stability of delayed reaction diffusion systems |
| url | http://dx.doi.org/10.1155/2013/412343 |
| work_keys_str_mv | AT jianma analgebraicmethodontheeigenvaluesandstabilityofdelayedreactiondiffusionsystems AT baodongzheng analgebraicmethodontheeigenvaluesandstabilityofdelayedreactiondiffusionsystems AT jianma algebraicmethodontheeigenvaluesandstabilityofdelayedreactiondiffusionsystems AT baodongzheng algebraicmethodontheeigenvaluesandstabilityofdelayedreactiondiffusionsystems |