Multiple solutions of boundary value problems with ϕ-Laplacian operators and under a Wintner-Nagumo growth condition-Reference-Cited by-同舟云学术

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

Published:2013-11-08 Issue:1 Volume:2013 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

El Khattabi Noha,Frigon Marlene,Ayyadi Nourredine

Abstract

Abstract 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.

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/1687-2770-2013-236.pdf

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