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Proceedings of the American Mathematical Society

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Global stability of a class of non-autonomous delay differential systems


Author: Bingwen Liu
Journal: Proc. Amer. Math. Soc. 138 (2010), 975-985
MSC (2010): Primary 34D05, 34C11, 34C12
DOI: https://doi.org/10.1090/S0002-9939-09-10181-8
Published electronically: October 26, 2009
MathSciNet review: 2566564
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Abstract: This paper is concerned with a class of systems of non-autonomous delay differential equations which are defined on the non-negative function space. Under proper conditions, we employ a novel proof to establish several criteria of the global stability of a positive equilibrium. Moreover, we give two examples to illustrate our main results.


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Additional Information

Bingwen Liu
Affiliation: College of Mathematics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang 314001, People’s Republic of China
Email: liubw007@yahoo.com.cn

DOI: https://doi.org/10.1090/S0002-9939-09-10181-8
Keywords: Delay differential equation, non-autonomous, global stability, non-negative function space, positive equilibrium.
Received by editor(s): June 25, 2009
Published electronically: October 26, 2009
Additional Notes: This work was supported by the National Natural Science Foundation of PR China (Grants No. 10801047, 10971229).
Communicated by: Yingfei Yi
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.