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Homoclinic orbits for a class of singular second order Hamiltonian systems in ℝ3

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Janczewska J., Maksymiuk J.

Open Mathematics

2012

tom 10

nr 6

1920-1927

We consider a conservative second order Hamiltonian system $$\ddot q + \nabla V(q) = 0$$ in ℝ3 with a potential V having a global maximum at the origin and a line l ∩ {0} = ϑ as a set of singular points. Under a certain compactness condition on V at infinity and a strong force condition at singular points we study, by the use of variational methods and geometrical arguments, the existence of homoclinic solutions of the system.

Ograniczanie wyników

1 Open Mathematics

1 Janczewska J.

1 Maksymiuk J.

1 2012

Wyniki wyszukiwania

Homoclinic orbits for a class of singular second order Hamiltonian systems in ℝ3