We describe the qualitative properties of the solutions of the second order scalar equation x'' + q(t)g(x) = 0, where q is a changing sign function, and consider the problem of existence and multiplicity of solutions which satisfy various different boundary conditions. In particular we outline some difficulties which arise in the use of the shooting approach.
Differential equations with indefinite weight: boundary value problems and qualitative properties of the solutions / Papini, Duccio; Zanolin, F.. - In: RENDICONTI DEL SEMINARIO MATEMATICO. - ISSN 0373-1243. - 60:(2002), pp. 265-295. (Intervento presentato al convegno Third Turin Forthnight on Nonlinear Analysis (Torino) tenutosi a Torino nel Dal 23/09/2001 al 06/10/2001).
Differential equations with indefinite weight: boundary value problems and qualitative properties of the solutions
PAPINI, DUCCIO;
2002
Abstract
We describe the qualitative properties of the solutions of the second order scalar equation x'' + q(t)g(x) = 0, where q is a changing sign function, and consider the problem of existence and multiplicity of solutions which satisfy various different boundary conditions. In particular we outline some difficulties which arise in the use of the shooting approach.
| File | Dimensione | Formato | |
|---|---|---|---|
|
pazanote.pdf
Accesso riservato
Dimensione
193.26 kB
Formato
Adobe PDF
|
193.26 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris
