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
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