Multiple solutions of boundary value problems with ϕ-Laplacian operators and under a Wintner-Nagumo growth condition

Multiple solutions of boundary value problems with ϕ-Laplacian operators and under a Wintner-Nagumo growth condition

In this paper, we establish the existence of multiple solutions to second-order differential equations with ϕ -Laplacian satisfying periodic, Dirichlet or Neumann boundary conditions. The right-hand side is a Carathéodory function satisfying a growth condition of Wintner-Nagumo type. The existence o...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Boundary value problems 2013-11, Vol.2013 (1), Article 236
Hauptverfasser: El Khattabi, Noha, Frigon, Marlene, Ayyadi, Nourredine
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Approximations and Expansions
Difference and Functional Equations
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we establish the existence of multiple solutions to second-order differential equations with ϕ -Laplacian satisfying periodic, Dirichlet or Neumann boundary conditions. The right-hand side is a Carathéodory function satisfying a growth condition of Wintner-Nagumo type. The existence of upper and lower solutions is assumed. The proofs rely on the fixed point index theory. MSC: 34B15, 34C25, 47H10, 37C25, 47H11.
ISSN:1687-2770
1687-2770
DOI:10.1186/1687-2770-2013-236