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Multiplicity of solutions of Dirichlet problems associated with second-order equations in ℝ2
Published online by Cambridge University Press: 23 September 2009
Abstract
We study the existence of multiple solutions for a two-point boundary-value problem associated with a planar system of second-order ordinary differential equations by using a shooting technique. We consider asymptotically linear nonlinearities satisfying suitable sign conditions. Multiplicity is ensured by assumptions involving the Morse indices of the linearizations at zero and at infinity.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 52 , Issue 3 , October 2009 , pp. 569 - 581
- Copyright
- Copyright © Edinburgh Mathematical Society 2009
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