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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Preservation of uniform asymptotic stability under perturbations
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by R. K. Miller
Proc. Amer. Math. Soc. 51 (1975), 155-158
DOI: https://doi.org/10.1090/S0002-9939-1975-0372563-1

Abstract:

Suppose the trivial solution of the interval initial value problem for a linear, convolution, Volterra integrodifferential equation is uniformly asymptotically stable. If the kernel in this equation is integrable, then it is shown that this stability is preserved under perturbations which are nonantisipative and of order two or more.
References
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Bibliographic Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 51 (1975), 155-158
  • MSC: Primary 45M10
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0372563-1
  • MathSciNet review: 0372563