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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Global stability of a class of non-autonomous delay differential systems
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by Bingwen Liu PDF
Proc. Amer. Math. Soc. 138 (2010), 975-985 Request permission

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.
References
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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
  • 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
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • 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
  • MathSciNet review: 2566564