Multiple periodic solutions for superquadratic and subquadratic
second-order Hamiltonian systems
- Yingjie Cai,
- Yu Tian
Beijing University of Posts and Telecommunications
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AbstractIn this paper, a class of second-order Hamiltonian systems is studied.
Under the assumption of superquadratic and subquadratic for the
nonlinear term, the existence of six periodic solutions and nine
periodic solutions are obtained by using the variational method and
space decomposition. Finally, two examples are given to verify the
feasibility of the new criteria.