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Proceedings of the American Mathematical Society

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A note on periodic solutions in the vicinity of a center


Author: Bau Sen Du
Journal: Proc. Amer. Math. Soc. 81 (1981), 579-584
MSC: Primary 34C25; Secondary 58F14
MathSciNet review: 601734
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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 [Enhancements On Off] (What's this?)

  • [1] Jane Cronin, Fixed points and topological degree in nonlinear analysis, Mathematical Surveys, No. 11, American Mathematical Society, Providence, R.I., 1964. MR 0164101
  • [2] N. G. Lloyd, Degree theory, Cambridge University Press, Cambridge-New York-Melbourne, 1978. Cambridge Tracts in Mathematics, No. 73. MR 0493564

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1981-0601734-4
Article copyright: © Copyright 1981 American Mathematical Society