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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Periodic solutions for nonautonomous second
order systems with sublinear nonlinearity


Author: Chun-Lei Tang
Journal: Proc. Amer. Math. Soc. 126 (1998), 3263-3270
MSC (1991): Primary 34C25, 58E50
MathSciNet review: 1476396
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Abstract: The existence and multiplicity of periodic solutions are obtained for nonautonomous second order systems with sublinear nonlinearity by using the least action principle and the minimax methods.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-98-04706-6
PII: S 0002-9939(98)04706-6
Keywords: Coercive, the (PS) condition, Sobolev's inequality, Wirtinger's inequality, the least action principle, the Saddle Point Theorem, periodic solution
Received by editor(s): March 18, 1997
Communicated by: Jeffrey B. Rauch
Article copyright: © Copyright 1998 American Mathematical Society