Abstract and Applied Analysis

Infinitely Many Periodic Solutions for Nonautonomous Sublinear Second-Order Hamiltonian Systems

Peng Zhang and Chun-Lei Tang

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Abstract

Two sequences of distinct periodic solutions for second-order Hamiltonian systems with sublinear nonlinearity are obtained by using the minimax methods. One sequence of solutions is local minimum points of functional, and the other is minimax type critical points of functional. We do not assume any symmetry condition on nonlinearity.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 620438, 10 pages.

Dates
First available in Project Euclid: 1 November 2010

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1288620732

Digital Object Identifier
doi:10.1155/2010/620438

Mathematical Reviews number (MathSciNet)
MR2660391

Zentralblatt MATH identifier
1203.37104

Citation

Zhang, Peng; Tang, Chun-Lei. Infinitely Many Periodic Solutions for Nonautonomous Sublinear Second-Order Hamiltonian Systems. Abstr. Appl. Anal. 2010 (2010), Article ID 620438, 10 pages. doi:10.1155/2010/620438. https://projecteuclid.org/euclid.aaa/1288620732


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