Existence and stability of periodic solution to delayed nonlinear differential equations
The main purpose of this paper is to study the periodicity and global asymptotic stability of a generalized Lotka-Volterra’s competition system with delays. Some sufficient conditions are established for the existence and stability of periodic solution of such nonlinear differential equations. The a...
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sg-ntu-dr.10356-1003182020-03-07T14:00:31Z Existence and stability of periodic solution to delayed nonlinear differential equations Gu, Xiang Wang, Huicheng Wong, P. J. Y. Xia, Yonghui School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering The main purpose of this paper is to study the periodicity and global asymptotic stability of a generalized Lotka-Volterra’s competition system with delays. Some sufficient conditions are established for the existence and stability of periodic solution of such nonlinear differential equations. The approaches are based on Mawhin’s coincidence degree theory, matrix spectral theory, and Lyapunov functional. Published version 2014-06-04T07:41:57Z 2019-12-06T20:20:26Z 2014-06-04T07:41:57Z 2019-12-06T20:20:26Z 2014 2014 Journal Article Gu, X., Wang, H., Wong, P. J. Y., & Xia, Y. (2014). Existence and Stability of Periodic Solution to Delayed Nonlinear Differential Equations. Abstract and Applied Analysis, 2014, 156948-. 1085-3375 https://hdl.handle.net/10356/100318 http://hdl.handle.net/10220/19578 10.1155/2014/156948 en Abstract and applied analysis © 2014 Xiang Gu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. application/pdf |
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DRNTU::Engineering::Electrical and electronic engineering Gu, Xiang Wang, Huicheng Wong, P. J. Y. Xia, Yonghui Existence and stability of periodic solution to delayed nonlinear differential equations |
| description |
The main purpose of this paper is to study the periodicity and global asymptotic stability of a generalized Lotka-Volterra’s competition system with delays. Some sufficient conditions are established for the existence and stability of periodic solution of such nonlinear differential equations. The approaches are based on Mawhin’s coincidence degree theory, matrix spectral theory, and Lyapunov functional. |
| author2 |
School of Electrical and Electronic Engineering |
| author_facet |
School of Electrical and Electronic Engineering Gu, Xiang Wang, Huicheng Wong, P. J. Y. Xia, Yonghui |
| format |
Article |
| author |
Gu, Xiang Wang, Huicheng Wong, P. J. Y. Xia, Yonghui |
| author_sort |
Gu, Xiang |
| title |
Existence and stability of periodic solution to delayed nonlinear differential equations |
| title_short |
Existence and stability of periodic solution to delayed nonlinear differential equations |
| title_full |
Existence and stability of periodic solution to delayed nonlinear differential equations |
| title_fullStr |
Existence and stability of periodic solution to delayed nonlinear differential equations |
| title_full_unstemmed |
Existence and stability of periodic solution to delayed nonlinear differential equations |
| title_sort |
existence and stability of periodic solution to delayed nonlinear differential equations |
| publishDate |
2014 |
| url |
https://hdl.handle.net/10356/100318 http://hdl.handle.net/10220/19578 |
| _version_ |
1681048475796504576 |