Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of Henan Polytechnic University(Natural Science)》 2010-01
Add to Favorite Get Latest Update

Existence of periodic solution for a class of second-order Hamilton system

HUANG Wen-nian(Institute of Mathematical Science & Computing Technique,Central South University,Changsha 410083,China)  
Hamilton system is widely used in the mathematical sciences,life sciences,as well as the whole field of social sciences,especially many models in celestial mechanics,plasma physics,space science,and bio-engineering present in the form of Hamilton system(or its disturbance system).Therefore,the study of Hamilton system is useful in theory and practice.In this paper,the least action principle and the local linking theorem are used to study the existence of periodic solutions of a class of second-order Hamilton system,and some sufficient conditions of the existence and multiplicity of periodic solutions of the system are obtained.
【CateGory Index】: O175.12
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【Citations】
Chinese Journal Full-text Database 4 Hits
1 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
2 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
3 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
4 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 LI Bo,YUAN Xin-sheng(College of Mathematics and Statistics,Anyang Normal University,Anyang 455000,China);The common fixed point for systems of some binary operator equations[J];Journal of Anhui University(Natural Sciences Edition);2011-01
2 ZHANG Su ping(Departments of Mathematics and Physics,Anhui Institute of Architecture and Industry,Anhui Hefei 230033,China);Positive solution of periodic boundary value problems for first order functionaldifferential equations with impulses[J];Journal of Anhui Institute of Architecture & Industry(Natural Science);2010-03
3 QIU Guan-ying(Department of Mathematics,Jiaying University,Meizhou 514015,China);The Further Research of Positive Periodic Solutions for a Class of Nonlinear Functional Differential Equations[J];Journal of Anhui Normal University(Natural Science);2010-03
4 Zhang Xian(Department of Mathematics );Topological Degree of Mapping in Product Space[J];Journal of Anhui Normal University(Natural Science);1995-03
5 LI Hai-Yan(Department of Mathematics and Computer Science,Chizhou College,Chizhou 247000,China);Many Positive Solutions of Singular Boundary Value Problems for Second Functional Differential Equations with Impulse in Abstract Space[J];Journal of Anqing Teachers College(Natural Science Edition);2009-01
6 LUO Xiao-jing (Department of Mathematics,Anhui Normal University,Wuhu 241000,China);Multiple Periodic Solutions to One Class of Secondorder Functional Differential Equations[J];Journal of Anqing Teachers College(Natural Science Edition);2009-03
7 WU Li-bing1,SHA Qiu-fu1,SUN Tao2(1.School of Science,University of Science and Technology Liaoning,Anshan 114051,China;2.School of Science,Northestern University,Shengyang 110004);Existence and uniqueness of solution for nonliner operator equation with conditional complete relative perfect set[J];Journal of University of Science and Technology Liaoning;2009-02
8 LI Bo,CUI Qun-fa (Department of Mathematics and Statistics, Anyang Teachers College, Anyang455000, China);The Convergence of Mann Iterative Sequences of Solutions for Some Mixed Monotone Operator Equations[J];Journal of Anyang Institute of Technology;2010-02
9 Zou Wenming ( Dept. of Fundam. Sci. );THE THEOREM AND APPLICITION OF THE UNIQUE EXISTENCE OF THE POSITIVE SOLUTION FOR ONE KIND OF NON-α-CONCAVE (-α-CONVEX) OPERATER EQUATION[J];Journal of North China University of Technology;1992-03
10 Hong Yoncheng;Yin Qun(Nanjing University of Science & Technology,Nanjing,210094);PERIODIC SOLUTIONS OF A CLASS OF SUPERQUADRATIC SECOND ORDER HAMILTONIAN SYSTEMS WITH LINEAR RESTORING FORCE[J];Acta Armamentarii;1996-02
【Secondary Citations】
Chinese Journal Full-text Database 3 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 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
3 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
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved