Existence and Uniqueness of Solutions for a Second-Order Delay Differential Equation Boundary Value Problem on the Half-Line

被引：0

作者：

Yuming Wei

机构：

[1] Beijing Institute of Technology,Department of Mathematics

[2] Guangxi Normal University,School of Mathematical Science

来源：

Boundary Value Problems | / 2008卷

关键词：

Differential Equation; Partial Differential Equation; Ordinary Differential Equation; Functional Equation; Point Theorem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper is concerned with the existence and uniqueness of solutions for the second-order nonlinear delay differential equations. By the use of the Schauder fixed point theorem, the existence of the solutions on the half-line is derived. Via the Banach contraction principle, another result concerning the existence and uniqueness of solutions on the half-line is established. The main results in this paper extend some of the existing literatures.

引用

共 50 条

[1] Existence and Uniqueness of Solutions for a Second-Order Delay Differential Equation Boundary Value Problem on the Half-Line
Wei, Yuming
BOUNDARY VALUE PROBLEMS, 2008, 2008 (1)
[2] Existence of solutions of a boundary value problem on the half-line to second order nonlinear delay differential equations
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[3] Existence of solutions of a boundary value problem on the half-line to second order nonlinear delay differential equations
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