On locally superquadratic Hamiltonian systems with periodic potential
Abstract In this paper, we study the second-order Hamiltonian systems u ¨ − L ( t ) u + ∇ W ( t , u ) = 0 , $$ \ddot{u}-L(t)u+\nabla W(t,u)=0, $$ where t ∈ R $t\in \mathbb{R}$ , u ∈ R N $u\in \mathbb{R}^{N}$ , L and W depend periodically on t, 0 lies in a spectral gap of the operator − d 2 / d t 2 +...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-09-01
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| Series: | Boundary Value Problems |
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| Online Access: | http://link.springer.com/article/10.1186/s13661-020-01444-y |