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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Integral conditions on the uniform asymptotic stability for two-dimensional linear systems with time-varying coefficients
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by Jitsuro Sugie and Masakazu Onitsuka
Proc. Amer. Math. Soc. 138 (2010), 2493-2503
DOI: https://doi.org/10.1090/S0002-9939-10-10274-3
Published electronically: February 24, 2010
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Abstract:

This paper is concerned with the uniform asymptotic stability of the zero solution of the linear system $\mathbf {x}’ = A(t)\mathbf {x}$ with $A(t)$ being a $2\times 2$ matrix. Our result can be used without knowledge about a fundamental matrix of the system.
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Bibliographic Information
  • Jitsuro Sugie
  • Affiliation: Department of Mathematics and Computer Science, Shimane University, Matsue 690-8504, Japan
  • MR Author ID: 168705
  • Email: jsugie@riko.shimane-u.ac.jp
  • Masakazu Onitsuka
  • Affiliation: Department of Mathematics and Computer Science, Shimane University, Matsue 690-8504, Japan
  • Address at time of publication: General Education, Miyakonojo National College of Technology, Miyakonojo 885-8567, Japan
  • Email: onitsuka@math.shimane-u.ac.jp
  • Received by editor(s): July 16, 2009
  • Received by editor(s) in revised form: October 30, 2009
  • Published electronically: February 24, 2010
  • Communicated by: Yingfei Yi
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 138 (2010), 2493-2503
  • MSC (2010): Primary 34D05, 34D20; Secondary 34D23, 37C75
  • DOI: https://doi.org/10.1090/S0002-9939-10-10274-3
  • MathSciNet review: 2607879