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- W2135448001 abstract "We consider the planar Hamiltonian system $$Ju^{prime} = nabla F(u) + nabla_u R(t,u), quad t in [0,T], ,u in mathbb{R}^2,$$ with F(u) positive and positively 2-homogeneous and $${nabla_{u}R(t, u)}$$ sublinear in u. By means of an Ahmad-Lazer-Paul type condition, we prove the existence of a T-periodic solution when the system is at resonance. The proof exploits a symplectic change of coordinates which transforms the problem into a perturbation of a linear one. The relationship with the Landesman–Lazer condition is analyzed, as well." @default.
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- W2135448001 date "2012-07-26" @default.
- W2135448001 modified "2023-09-30" @default.
- W2135448001 title "Planar Hamiltonian systems at resonance: the Ahmad–Lazer–Paul condition" @default.
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- W2135448001 doi "https://doi.org/10.1007/s00030-012-0181-2" @default.
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