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Periodic solutions of the second order differential equations with Lipschitzian condition
Author(s):
Zaihong
Wang
Journal:
Proc. Amer. Math. Soc.
126
(1998),
2267-2276.
MSC (1991):
Primary 34C25;
Secondary 34B15
MathSciNet review:
1487345
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Abstract:
In this paper, we prove an infinity of periodic solutions to the periodically forced nonlinear Duffing equation  .
References:
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- D.E. Leach, On poincaré's perturbation theorem and a theorem of W.S.Loud, J. Diff. Eqs. 7 (1970), 34-53. MR 40:4539
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- T. Ding, R. Iannacci and F. Zanolin, Existence and multiplicity results for periodic solutions of semilinear Duffing equation, J. Diff. Eqs. 105 (1993), 364-409. MR 94g:34060
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- W.Y.Ding, A generalization of the Poincaré-Birkhoff theorem, Proc. Amer. Math. Soc. 88 (1983), 341-346. MR 84f:54053
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Additional Information:
Zaihong
Wang
Affiliation:
Department of Mathematics, Capital Normal University, Beijing 100037, China
DOI:
10.1090/S0002-9939-98-04772-8
PII:
S 0002-9939(98)04772-8
Keywords:
Periodic solution,
Poincar\'{e}-Birkhoff twist theorem
Received by editor(s):
December 10, 1996
Additional Notes:
This project was supported by NSF of China.
Communicated by:
Hal L. Smith
Copyright of article:
Copyright
1998,
American Mathematical Society
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