SpringerOpen Newsletter

Receive periodic news and updates relating to SpringerOpen.

Open Access Research

Existence and uniqueness of solutions for delay boundary value problems with p-Laplacian on infinite intervals

Yuming Wei1* and Patricia JY Wong2

Author Affiliations

1 School of Mathematical Science, Guangxi Normal University, Guilin, 541004, China

2 School of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore, 639798, Singapore

For all author emails, please log on.

Boundary Value Problems 2013, 2013:141  doi:10.1186/1687-2770-2013-141

Published: 31 May 2013

Abstract

This paper is concerned with the existence and uniqueness of solutions for boundary value problems with p-Laplacian delay differential equations on the half-line. The existence of solutions is derived from the Schauder fixed point theorem, whereas the uniqueness of solution is established by the Banach contraction principle. As an application, an example is given to demonstrate the main results.

MSC: 34K10, 34B18, 34B40.

Keywords:
delay differential equation; boundary value problem; infinite interval; Schauder fixed point theorem; Banach contraction principle