Gui Bao, Zhiqing Han, Minghai Yang
Abstract:
By using a modified function technique and variational methods,
we establish the existence of infinitely many homoclinic solutions
for a second-order Hamiltonian system
, for all t in R, where no
coercive condition for F(t,u) at infinity is imposed.
Submitted January 4, 2013. Published June 28, 2013.
Math Subject Classifications: 37J45, 58E05, 34C37, 70H05.
Key Words: Second order Hamilton system; Homoclinic solution;
variational method.
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Gui Bao School of Mathematical Sciences Dalian University of Technology Dalian 116024, China email: baoguigui@163.com |
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Zhiqing Han School of Mathematical Sciences Dalian University of Technology Dalian 116024, China email: hanzhiq@dlut.edu.cn |
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Minghai Yang Department of Mathematics Xinyang Normal University Xinyang 464000, China email: ymh1g@126.com |
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