Proceedings of the American Mathematical Society

Periodic solutions for nonautonomous second order systems with sublinear nonlinearity

Author(s): Chun-Lei Tang
Journal: Proc. Amer. Math. Soc. 126 (1998), 3263-3270.
MSC (1991): Primary 34C25, 58E50
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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.

1.: H. Brezis and L. Nirenberg, Remarks on finding critical points, Comm. Pure Appl. Math. 44 (1991), 939-963. MR 92i:58032
2.: Y. M. Long, Nonlinear oscillations for classical Hamiltonian systems with bi-even subquadratic potentials, Nonl. Anal. TMA 24 (12) (1995), 1665-1671. MR 96h:34079
3.: J. Mawhin and M. Willem, Critical point theory and Hamiltonian systems, Springer-Verlag, New York, Berlin, Heidelberg, London, Paris, Tokyo, 1989. MR 90e:58016
4.: P. H. Rabinowitz, Minimax methods in critical point theory with applications to differential equations, CBMS Reg. Conf. Ser. in Math. No. 65, Amer. Math. Soc., Providence, RI, 1986. MR 87j:58024
5.: C. L. Tang, Periodic solutions of nonautonomous second order systems with $\gamma$ -quasisubadditive potential, J. Math. Anal. Appl. 189 (3) (1995), 671-675. MR 96a:34090
6.: C. L. Tang, Existence and multiplicity of periodic solutions for nonautonomous second order systems, Nonl. Anal. TMA, to appear.

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 34C25, 58E50

Chun-Lei Tang
Affiliation: Department of Mathematics, Southwest Normal University, Chongqing 400715, People's Republic of China
Email: tangcl@swnu.edu.cn

DOI: 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
Copyright of article: Copyright 1998, American Mathematical Society

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