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

Boundary value problems

Patricia JY Wong¹  Yuming Wei² 

[1] School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, Singapore;School of Mathematical Science, Guangxi Normal University, Guilin, China

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

DOI  :  10.1186/1687-2770-2013-141

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY