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[1] Yin Cuicui, Zhang Fubao, Huang Chengshan,. Infinitely many periodic solutionsfor second-order Hamiltonian systems [J]. Journal of Southeast University (English Edition), 2009, 25 (4): 549-551. [doi:10.3969/j.issn.1003-7985.2009.04.028]
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Infinitely many periodic solutionsfor second-order Hamiltonian systems()
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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
25
Issue:
2009 4
Page:
549-551
Research Field:
Mathematics, Physics, Mechanics
Publishing date:
2009-12-30

Info

Title:
Infinitely many periodic solutionsfor second-order Hamiltonian systems
Author(s):
Yin Cuicui Zhang Fubao Huang Chengshan
Department of Mathematics, Southeast University, Nanjing 211189, China
Keywords:
variant fountain theorem second-order Hamiltonian system infinitely periodic solutions even functional
PACS:
O175
DOI:
10.3969/j.issn.1003-7985.2009.04.028
Abstract:
The existence of high energy periodic solutions for the second-order Hamiltonian system (t)+A(t)u(t)=∇F(t, u(t))with convex and concave nonlinearities is studied, where F(t, u)=F11(t, u)+F22(t, u). Under the condition that F is an even functional, infinitely many solutions for it are obtained by the variant fountain theorem. The result is a complement for some known ones in the critical point theory.

References:

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Memo

Memo:
Biographies: Yin Cuicui(1985—), female, graduate; Zhang Fubao(corresponding author), male, doctor, professor, 101009933@seu.edu.cn.
Citation: Yin Cuicui, Zhang Fubao, Huang Chengshan.Infinitely many periodic solutions for second-order Hamiltonian systems[J].Journal of Southeast University(English Edition), 2009, 25(4): 549-551.
Last Update: 2009-12-20