Multiplicity of solutions of Dirichlet problems associated with second-order equations in ℝ2
- Authors: Dalbono F; Rebelo C
- Publication year: 2009
- Type: Articolo in rivista (Articolo in rivista)
- OA Link: http://hdl.handle.net/10447/64692
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