SpringerOpen Newsletter

Receive periodic news and updates relating to SpringerOpen.

Open Access Research

Solvability for p-Laplacian boundary value problem at resonance on the half-line

Weihua Jiang

Author Affiliations

College of Sciences, Hebei University of Science and Technology, Shijiazhuang, Hebei, 050018, P.R. China

Boundary Value Problems 2013, 2013:207  doi:10.1186/1687-2770-2013-207

Published: 11 September 2013

Abstract

The existence of solutions for p-Laplacian boundary value problem at resonance on the half-line is investigated. Our analysis relies on constructing the suitable Banach space, defining appropriate operators and using the extension of Mawhin’s continuation theorem. An example is given to illustrate our main result.

MSC: 70K30, 34B10, 34B15.

Keywords:
p-Laplacian; resonance; half-line; multi-point boundary value problem; continuation theorem