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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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Novel criteria for exponential stability in mean square of stochastic functional differential equations
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by Pham Huu Anh Ngoc PDF
Proc. Amer. Math. Soc. 148 (2020), 3427-3436 Request permission

Abstract:

We present a novel approach to the mean square exponential stability of stochastic functional differential equations (SFDEqs). Consequently, new explicit criteria for the mean square exponential stability of SFDEqs are derived. Illustrative examples are provided.
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Additional Information
  • Pham Huu Anh Ngoc
  • Affiliation: Department of Mathematics, International University, Vietnam National University, Ho Chi Minh City, Thu Duc District, Saigon, Vietnam
  • Email: phangoc@hcmiu.edu.vn
  • Received by editor(s): June 5, 2019
  • Received by editor(s) in revised form: December 19, 2019
  • Published electronically: March 25, 2020
  • Additional Notes: The author was supported by the Vietnam National Foundation for Science and Technology Development under Grant 101.01-2019.04
  • Communicated by: Wenxian Shen
  • © Copyright 2020 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 3427-3436
  • MSC (2010): Primary 34D20, 93E15
  • DOI: https://doi.org/10.1090/proc/14994
  • MathSciNet review: 4108849