MULTIPLE PERIODIC SOLUTIONS FOR SUPERQUADRATIC AND SUBQUADRATIC SECOND-ORDER HAMILTONIAN SYSTEMS

Yingjie Cai; Yu Tian

doi:10.11948/20220256

2023 Volume 13 Issue 6

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Article navigation > Journal of Applied Analysis & Computation > 2023 > 13(6): 3074-3086

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Yingjie Cai, Yu Tian. MULTIPLE PERIODIC SOLUTIONS FOR SUPERQUADRATIC AND SUBQUADRATIC SECOND-ORDER HAMILTONIAN SYSTEMS[J]. Journal of Applied Analysis & Computation, 2023, 13(6): 3074-3086. doi: 10.11948/20220256

Citation:

Yingjie Cai, Yu Tian. MULTIPLE PERIODIC SOLUTIONS FOR SUPERQUADRATIC AND SUBQUADRATIC SECOND-ORDER HAMILTONIAN SYSTEMS[J]. Journal of Applied Analysis & Computation, 2023, 13(6): 3074-3086. doi: 10.11948/20220256

MULTIPLE PERIODIC SOLUTIONS FOR SUPERQUADRATIC AND SUBQUADRATIC SECOND-ORDER HAMILTONIAN SYSTEMS

Yingjie Cai^1,,
Yu Tian^1, ,

1.
School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

Author Bio: Email: caiyj@bupt.edu.cn(Y. Cai)
Corresponding author: Email: tianyu2992@bupt.edu.cn(Y. Tian)

Abstract

Abstract

In this paper, a class of second-order Hamiltonian systems is studied. Under the assumptions of superquadratic and subquadratic for the nonlinear term, the existence of six periodic solutions and nine periodic solutions is obtained by using the variational method and space decomposition. Finally, two examples are given to verify the feasibility of the new criteria.
- Hamiltonian systems /
- variational method /
- critical point theorem /
- space decomposition
MSC: 34A37, 40B05, 42A45

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References

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