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无穷区间上二阶时滞微分方程边值问题解的存在性
  • ISSN号：1007-6573
  • 期刊名称：徐州师范大学学报(自然科学版)
  • 时间：0
  • 页码：6112-6117
  • 语言：中文
  • 分类：O175[理学—数学;理学—基础数学]
  • 作者机构：[1]北京理工大学数学系,北京100081, [2]广西师范大学数学科学学院,广西桂林541004
  • 相关基金：国家自然科学基金资助项目（10671012）
  • 相关项目：微分系统边值问题中的非线性分析
作者： 韦煜明|葛渭高|杜波|
关键词： 时滞微分方程, 边值问题, SCHAUDER不动点定理, Banach压缩映像原理, 无穷区间, delay differential equation, boundary value problem, Schauder fixed point theorem, Banach contraction principle, infinite interval
中文摘要：

利用Schauder不动点定理和Banach压缩映像原理研究了一类二阶时滞微分方程在无穷区间上的边值问题,得到了至少存在一个解和存在唯一解的充分条件.

英文摘要：

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

同期刊论文项目
微分系统边值问题中的非线性分析
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