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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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On the stability of sets for delayed Kolmogorov-type systems
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by Ivanka M. Stamova and Gani Tr. Stamov PDF
Proc. Amer. Math. Soc. 142 (2014), 591-601 Request permission

Abstract:

In this paper we consider Kolmogorov-type delay systems. Criteria on the uniform global asymptotic stability of sets are established for the above systems using Lyapunov functions and the Razumikhin technique.
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Additional Information
  • Ivanka M. Stamova
  • Affiliation: Department of Mathematics, The University of Texas at San Antonio, One UTSA Circle, San Antonio, Texas 78249
  • MR Author ID: 329335
  • Email: ivanka.stamova@utsa.edu
  • Gani Tr. Stamov
  • Affiliation: Department of Mathematics, Technical University of Sofia, 8800 Sliven, Bulgaria
  • Email: gstamov@abv.bg
  • Received by editor(s): March 26, 2012
  • Published electronically: November 4, 2013
  • Communicated by: Yingfei Yi
  • © Copyright 2013 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 142 (2014), 591-601
  • MSC (2010): Primary 34K20; Secondary 34K25, 34K60
  • DOI: https://doi.org/10.1090/S0002-9939-2013-12197-0
  • MathSciNet review: 3134000