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A note on periodic solutions of nonautonomous second-order systems
Author(s):
Chun-Lei
Tang;
Xing-Ping
Wu
Journal:
Proc. Amer. Math. Soc.
132
(2004),
1295-1303.
MSC (2000):
Primary 34C25, 47N20, 58E50
Posted:
December 5, 2003
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Abstract:
A multiplicity theorem is obtained for periodic solutions of nonautonomous second-order systems with partially periodic potentials by the minimax methods.
References:
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- 1.
- M. Willem, Oscillations forcés de systemes hamiltoniens, Public Sémin. Analyse non linéaire Univ. Besancon, 1981.
- 2.
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action, Trans. Amer. Math. Soc., 1988, 310(1), 303-311. MR 89i:34057 - 3.
- K. C. Chang, On the periodic nonlinearity and the multiplicity of solutions, Nonlinear Analysis TMA, 1989, 13(5), 527-537. MR 90k:58036
- 4.
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- 7.
- J. Mawhin and M. Willem, Critical point theory and Hamiltonian systems, Springer-Verlag, New York, 1989. MR 90e:58016
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Additional Information:
Chun-Lei
Tang
Affiliation:
Department of Mathematics, Southwest Normal University, Chongqing 400715, People's Republic of China
Email:
tangcl@swnu.edu.cn
Xing-Ping
Wu
Affiliation:
Department of Mathematics, Southwest Normal University, Chongqing 400715, People's Republic of China
Email:
wuxingping@eduwest.com
DOI:
10.1090/S0002-9939-03-07185-5
PII:
S 0002-9939(03)07185-5
Keywords:
Periodic solution,
second-order system,
periodicity,
Sobolev's inequality,
Wirtinger's inequality,
the minimax methods
Received by editor(s):
April 29, 2001
Posted:
December 5, 2003
Additional Notes:
Supported by National Natural Science Foundation of China, by Major Project of Science and Technology of MOE, P.R.C. and by the Teaching and Research Award program for Outstanding Young Teachers in Higher Education Institutions of MOE, P.R.C
Communicated by:
Jonathan M. Borwein
Copyright of article:
Copyright
2003,
American Mathematical Society
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