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].
Data di pubblicazione: | 2009 | |
Titolo: | Multiplicity of solutions of Dirichlet problems associated with second-order equations in ℝ2 | |
Autori: | ||
Citazione: | 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]. | |
Rivista: | ||
Digital Object Identifier (DOI): | http://dx.doi.org/10.1017/S0013091506000897 | |
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 Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica | |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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