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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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A note on periodic solutions in the vicinity of a center
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by Bau Sen Du PDF
Proc. Amer. Math. Soc. 81 (1981), 579-584 Request permission

Abstract:

We show that a small polynomial perturbation of a center will result in periodic solutions provided the coefficients of the polynomial satisfy inequality $(2)$ below. The proof is based on an application of degree theory.
References
  • Jane Cronin, Fixed points and topological degree in nonlinear analysis, Mathematical Surveys, No. 11, American Mathematical Society, Providence, R.I., 1964. MR 0164101
  • N. G. Lloyd, Degree theory, Cambridge Tracts in Mathematics, No. 73, Cambridge University Press, Cambridge-New York-Melbourne, 1978. MR 0493564
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 81 (1981), 579-584
  • MSC: Primary 34C25; Secondary 58F14
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0601734-4
  • MathSciNet review: 601734