The Poincaré–Birkhoff Theorem for a Class of Degenerate Planar Hamiltonian Systems
In this paper, we investigate the problem of the existence and multiplicity of periodic solutions to the planar Hamiltonian system x′=-λα(t)f(y)x^{\prime}=-\lambda\alpha(t)f(y), y′=λβ(t)g(x)y^{\prime}=\lambda\beta(t)g(x), where α,β\alpha,\beta are non-negative 𝑇-periodic coefficients and λ&g...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2021-08-01
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| Series: | Advanced Nonlinear Studies |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/ans-2021-2137 |