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Global stability of a class of non-autonomous delay differential systems
Author(s):
Bingwen
Liu
Journal:
Proc. Amer. Math. Soc.
MSC (2010):
Primary 34D05, 34C11, 34C12
Posted:
October 26, 2009
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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:
10.1090/S0002-9939-09-10181-8
PII:
S 0002-9939(09)10181-8
Keywords:
Delay differential equation,
non-autonomous,
global stability,
non-negative function space,
positive equilibrium.
Received by editor(s):
June 25, 2009
Posted:
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
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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