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EnglishWe 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.
| 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. |
| 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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| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| DalReb09.pdf | Articolo principale | Altro materiale | Administrator Richiedi una copia | |
| multiplicity_of_solutions_of_dirichlet_problems_associated_with_secondorder_equations_in_2.pdf | Versione Editoriale | Administrator Richiedi una copia |
http://hdl.handle.net/10447/64692
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