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

Dalbono F, Rebelo C (2009). Multiplicity of solutions of Dirichlet problems associated with second-order equations in ℝ2. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 52(3), 569-581 [10.1017/S0013091506000897].

Multiplicity of solutions of Dirichlet problems associated with second-order equations in ℝ2

DALBONO, Francesca;
2009-01-01

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
Settore MAT/05 - Analisi Matematica
Dalbono F, Rebelo C (2009). Multiplicity of solutions of Dirichlet problems associated with second-order equations in ℝ2. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 52(3), 569-581 [10.1017/S0013091506000897].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/64692
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