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Abstract
We consider a conservative second order Hamiltonian system \ddot{q}+ ∇V(q)=0 in R3 with a potential V having a global maximum at the origin and a line l ∩ {0} = ∅ 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.
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- DOI:
- Digital Object Identifier (open in new tab) 10.2478/s11533-012-0096-5
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
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Central European Journal of Mathematics
no. 10,
edition 6,
pages 1920 - 1927,
ISSN: 1895-1074 - Language:
- English
- Publication year:
- 2012
- Bibliographic description:
- Janczewska J., Maksymiuk J.: Homoclinic orbits for a class of singular second order Hamiltonian systems in ℝ3// Central European Journal of Mathematics. -Vol. 10, iss. 6 (2012), s.1920-1927
- DOI:
- Digital Object Identifier (open in new tab) 10.2478/s11533-012-0096-5
- Verified by:
- Gdańsk University of Technology
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