| 无穷区间上二阶时滞微分方程边值问题解的存在性 |
| |
| 引用本文： | 韦煜明,杜波,葛渭高.无穷区间上二阶时滞微分方程边值问题解的存在性[J].徐州师范大学学报(自然科学版),2008,26(2):26-29. |
| |
| 作者姓名： | 韦煜明 杜波 葛渭高 |
| |
| 作者单位： | 1. 北京理工大学,数学系,北京,100081;广西师范大学,数学科学学院,广西,桂林,541004
2. 北京理工大学,数学系,北京,100081 |
| |
| 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.
|
| 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 |
Existence of Solutions for Second-order Delay Boundary Value Problem on the Half-line |
| |
| WEI Yu-ming,DU Bo,GE Wei-gao.Existence of Solutions for Second-order Delay Boundary Value Problem on the Half-line[J].Journal of Xuzhou Normal University(Natural Science Edition),2008,26(2):26-29. |
| |
| Authors: | WEI Yu-ming DU Bo GE Wei-gao |
| |
| Institution: | WEI Yu-ming,DU Bo,GE Wei-gao (1.Department of Mathematics,Beijing Institute of Technology,Beijing,100081,China;2.School of Mathematical Science,Guangxi Normal University,Guilin,Guangxi,541004,China) |
| |
| Abstract: | 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. |
| |
| Keywords: | delay differential equation boundary value problem Schauder fixed point theorem Banach contraction principle infinite interval |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
