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

Yuming Wei,Patricia Jy Wong

doi:10.1186/1687-2770-2013-141

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.

Highlights

Boundary value problems on infinite intervals have many applications in physical problems
Boundary value problems on infinite intervals involving second-order delay differential equations are of specific interest in these applications
Among the many articles dealing with boundary value problems of second-order delay differential equations, we refer the reader to [ ] and the references cited therein

Summary

Introduction

Boundary value problems on infinite intervals have many applications in physical problems. Motivated by the work mentioned above, this paper aims to fill in the gap, and we shall tackle the existence and uniqueness of solutions to a boundary value problem of delay differential equation with p-Laplacian on infinite interval, which has been rarely discussed until now.

Objectives

Results

Conclusion