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

被引：2

作者：

Wei, Yuming ^{[1
]}

Wong, Patricia J. Y. ^{[2
]}

机构：

[1] Guangxi Normal Univ, Sch Math Sci, Guilin 541004, Peoples R China

[2] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore

来源：

BOUNDARY VALUE PROBLEMS | 2013年

基金：

中国国家自然科学基金;

关键词：

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

D O I：

10.1186/1687-2770-2013-141

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：13

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