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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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Asymptotic behavior of solutions of perturbed linear systems
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by L. E. Bobisud
Proc. Amer. Math. Soc. 35 (1972), 457-463
DOI: https://doi.org/10.1090/S0002-9939-1972-0301313-7

Abstract:

The existence of solutions of the system $y’ + Ay = f(t,y)$ having the form $y(t) = Z(t)a(t)$ is proved, where $Z(t)$ satisfies $Z’ + AZ = 0$ and the vector $a(t)$ has limit $\alpha$ as t increases. Estimates for the rate of convergence to zero of $a(t) - \alpha$ and of $y(t) - Z(t)\alpha$ are obtained.
References
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Bibliographic Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 35 (1972), 457-463
  • MSC: Primary 34D05
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0301313-7
  • MathSciNet review: 0301313