Existence of periodic solution for a class of secondorder Hamilton system
HUANG Wennian(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 bioengineering 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 secondorder Hamilton system,and some sufficient conditions of the existence and multiplicity of periodic solutions of the system are obtained.
【CateGory Index】：
O175.12


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