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《Journal of Southwest China Normal University(Natural Science Edition)》 2006-01
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Existence and Multiplicity of Solutions of Second-order Hamiltonian Systems

WAN Li-ping,TANG Chun-leiSchool of Mathematics and Finance,Southwest University,Chongqing 400715,China  
The existence and multiplicity results of solutions are obtained by the reduction method for non-autono-mous second order Hamiltonian system,using the least action principle and local linking in critical point theory.
【Fund】: 国家自然科学基金资助项目(10471113);; 教育部优秀青年教师教学科研奖励计划项目
【CateGory Index】: O175.2
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【Citations】
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 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
3 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
4 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;Subharmonic Solutions for "Superquadratic" Hamiltonian Systems[J];Journal of Southwest China Normal University(Natural Science);2004-01
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
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 TANG Chun - lei (Dept.of Mathematics,Southwest China Normal University,Chongqing 400715,China);Applications of the Minimax Methods to the Second Order Hamiltonian Systems[J];Journal of Chongqing Vocational & Technical Institute;2003-04
2 HUANG Wen-nian(Institute of Mathematical Science & Computing Technique,Central South University,Changsha 410083,China);Existence of periodic solution for a class of second-order Hamilton system[J];Journal of Henan Polytechnic University(Natural Science);2010-01
3 Chen Jin~1,Zhao Fukun~2(1.Department of Mathematics,Zhaotong Teacher's College,Zhaotong 657000,China;2.School of Mathematics,Yunnan Normal University,Kunming 650092,China);Existence of Periodic Solutions with Saddle Point Characteristics for Some Non-Autonomous Second Order Systems[J];Journal of Ningxia University(Natural Science Edition);2006-04
4 HU Juan,HOU Duo,ZHANG Shumei (School of Mathmatical Science and Computing Technology,Central South University,Changsha 410083,China);Periodic Solution of Some Non-autonomous Second Order Hamiltonian Systems[J];Journal of Shihezi University(Natural Science);2009-04
5 PAN Wen-xiu(Department of Mathematics,Shaoguan University,Shaoguan 512005,Guangdong,China);Existence of periodic solutions on the non-autonomous second systems[J];Journal of Shaoguan University;2007-06
6 SHU Xiaobao (Department of Mathematics,Hunan University,Changsha 410082);INFINITELY MANY SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR A CLASS OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS[J];Journal of Systems Science and Mathematical Sciences;2008-01
7 Choi Q-Heung; Jung Tacksun(Departmctzt of Mathematics, Inha University, Incheon 402-751, KoreaDepartment of Mathematics, Kunsan National University, Kunsan 573-701, Korea);MULTIPLICITY OF SOLUTIONS AND SOURCE TERMS IN A FOURTH ORDER NONLINEAR ELLIPTIC EQUATION[J];数学物理学报(英文版);1999-04
8 YAN Yan-ju~1 JIN Zheng-guo~2 (1.Department of Mathematics & Physics,Anyang Institute of Technology,Henan 455000,China; 2.Deparment of Mathematics,Dalian University of Technology,Liaoning 116024,China);Multiplicity Results for a Nonlinear Suspension Bridge Equation[J];Journal of Mathematical Research and Exposition;2007-04
9 An Yukun;An Shiquan;Xian Daming;A Note of Forced Vibrations for an Asymptotically Linear Wave Equation[J];Journal of Northwest Normal University;1988-04
10 ZHANG Shen-gui,JIAO Yu-juan (Computer Science and Information Engineering College of Northwest University for Nationalities, Lanzhou Gansu 730030, China);Periodic Solution of a Class of Sublinear Second OrderSystems at Resonance[J];Journal of Northwest University for Nationalities(Natural Science);2009-01
【Co-references】
Chinese Journal Full-text Database 6 Hits
1 YIN Hong-mei,HOU Jing-hua,GUO Dong-xia(School of Mathematical Sciences and Computing Technology,Central South University,Changsha 410083,China);Existence and Multiplicity of Periodic Solutions for Nonautonomous Second Order Systems[J];Journal of Hangzhou Normal University(Natural Science Edition);2008-05
2 LIU Shu-yuan1,2,L Xian-rui1,QI Yi2(1.College of Mathematics,Jilin University,Changchun 130012,China;2.Jilin Commercial College,Changchun 130062,China);Numerical Mountain Pass Periodic Solutions of a Duffing Equation[J];Journal of Jilin University(Science Edition);2007-04
3 HE Tie-shan1,CHEN Wen-ge2(1.Department of Computation Science,Zhongkai University of Agriculture and Engineering,Guangzhou 510225,China)(2.School of Mathematical Sciences,South China University of Technology, Guangzhou 510640,China);Multiple Periodic Solutions for Second Order Discrete Hamiltonian Systems[J];Mathematics in Practice and Theory;2008-17
4 SHU XIAOBAO (Department of Mathematics, Hunan University, Changsha 410082) XU YUANTONG (Department of Mathematics, Zhongshan University, Guangzhou 510275);Multiple Periodic Solutions to a Class of Second-Order Functional Differential Equations of Mixed Type[J];Acta Mathematicae Applicatae Sinica;2006-05
5 SHU XIAOBAO HUANG LIHONG (Department of Mathematics,Hunan University,Changsha,410082) XU YUANTONG (Department of Mathematics,Zhongshan University,Guangzhou,510275);A Estimate for Number Multiple Periodic Solutions to a Class Neutral Differential Equations[J];Acta Mathematicae Applicatae Sinica;2008-01
6 CHEN Jilin (Department of Mathematics,Zhaotong Teacher′s College,Zhaotong Yunnan 657000,China);Variational principle and existence theorems of periodic solutions for a class of second order non-Hamiltonian systems[J];Journal of Zhejiang Normal University(Natural Sciences);2008-03
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 TAO Zhulian1, 2, TANG Chunlei11. Dept. of Mathematics, Southwest China Normal University, Chongqing 400715, China; 2. Dept. of Mathematics, Logistics Eengineering University, Chongqing 400016, China;Periodic Solutions of Nonquadratic Second Order Hamiltonian Systems[J];Journalof Southwest China Normal University(Natural Science);2002-06
2 OU Zengqi, TANG ChunleiDept. of Mathematics, Southwest China Normal University, Chongqing 400715, China;Notes on Periodic Solutions of Superquadratic Second Order System[J];Journal of Southwest China Normal University(Natural Science);2003-01
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