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

Boundary value problems

Noha El Khattabi⁴  Nourredine Ayyadi⁸  Marlene Frigon⁹ 

[1] Mohammed V, Agdal, Marocco;de Montrédes sciences de Rabat, UniversitéDéal, Canada;al, Montrématiques et de statistique, Universitématiques, Facultépartement de mathé

关键词: boundary value problem;    second-order differential equation;    multiple solutions;    ϕ-Laplacian;    upper and lower solutions;    Wintner-Nagumo growth condition;    fixed point index;   

DOI  :  10.1186/1687-2770-2013-236

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY