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Multiplicity of homoclinic solutions for singular second-order conservative systems
Published online by Cambridge University Press: 14 November 2011
Abstract
We consider a class of second-order systems , with q(t) ∊ℝn, for which the potential energy V: ℝn\S→ℝ admits a (possibly unbounded) singular set S ⊂ℝn and has a unique absolute maximum at 0 ∈ℝn. Under some conditions on S and V, we prove the existence of several solutions homoclinic to 0.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 126 , Issue 6 , 1996 , pp. 1169 - 1180
- Copyright
- Copyright © Royal Society of Edinburgh 1996
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