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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] J. Cronin, Fixed points and topological degree in nonlinear analysis, Math. Surveys, no. 11, Amer. Math. Soc., Providence, R. I., 1964, pp. 91-93. MR 0164101 (29:1400)
  • [2] N. G. Lloyd, Degree theory, Cambridge Univ. Press, Cambridge and New York, 1978, pp. 132-133. MR 0493564 (58:12558)

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Article copyright: © Copyright 1981 American Mathematical Society

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