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《Journal of Southwest China Normal University(Natural Science)》 2004-01
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Subharmonic Solutions for "Superquadratic" Hamiltonian Systems

CHEN Shang-jie~1,XI Da-you~2,TANG Chun-lei~11. School of Mathematics and Finance, Southwest China Normal University, Chongqing 400715, China;2. Elementary Education College, Chongqing Normal University, Chongqing 400700, China  
Infinte distinct subharmonic solutions are obtained for nonconvex and nonautonomous Hamiltonian systems =JH_z(z, t) by using the minimax methods in critical point theory, whereJ is a standard sympletic matrx, H:R~(2n)×R→R is continuously differentiable, and T-period in the second variable.
【Fund】: 国家自然科学基金资助项目(1987016);; 教育部科学技术重点项目;; 教育部高等学校优秀青年教师教学科研奖励计划.
【CateGory Index】: O151.21
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【References】
Chinese Journal Full-text Database 2 Hits
1 DUAN Chun-sheng1,CHEN Shang-jie2,TANG Chun-lei21.College of Computer Science,Civil Aviation Flight University of China,Guanghan Sichuan 618307,China;2.School of Mathematics and Statistics,Southwest University,Chongqing 400715,China;A Note on a Nonhomogeneous Schrdinger-Maxwell Equations on R~3[J];Journal of Southwest University(Natural Science Edition);2010-04
2 WAN Li-ping,TANG Chun-leiSchool of Mathematics and Finance,Southwest University,Chongqing 400715,China;Existence and Multiplicity of Solutions of Second-order Hamiltonian Systems[J];Journal of Southwest China Normal University(Natural Science Edition);2006-01
【Co-references】
Chinese Journal Full-text Database 5 Hits
1 HAN Zhi-qing (Institute of Mathematicol Sciences, Dalian University of Technology, Dalian 116024, P. R. China) (E-mail: hanzhiq@dlut.edu.cn);2π-Periodic Solutions to Ordinary Differential Systems at Resonance[J];ACTA MATHEMATICA SINICA;2000-04
2 WAN Li-li1,2,TANG Chun-lei21. School of Science,Southwest University of Science and Technology,Mianyang Sichuan 621010,China;2. School of Mathematics and Statistics,Southwest University,Chongqing 400715,China;Existence of Solutions for Asymptotically Linear Schrdinger Equations[J];Journal of Southwest University(Natural Science Edition);2009-08
3 TANG Chun\|lei, WU Xing\|ping (Dept. of Mathematics, Southwest China Normal University, Chongqing 400715);Applications of the least action principle to second order Hamiltonian systems[J];JOURNALOF SOUTHWEST CHINA NORMAL UNIVERSITY(NATURAL SCIENCE);2000-04
4 CHEN Shangjie, \ TANG ChunleiDept. of Mathematics, Southwest China Normal University, Chongqing 400715, China;A Note on Periodic Solutions for Superquadratic Hamiltonian Systems[J];Journalof Southwest China Normal University(Natural Science);2002-06
5 OU Zeng-qi~1, TANG Chun-lei~2 1. College of Basic Science and Technology, Southwest Agricultural University, Chongqing 400716, China; 2. School of Mathematics and Finance, Southwest China Normal University, Chongqing 400715, China;Periodic Solutions for a Class of Nonautonomous Superquadratic Second Order Hamiltonian System[J];Journal of Southwest China Normal University(Natural Science);2005-02
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