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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 被引量：1

Existence of Solutions for Second-order Delay Boundary Value Problem on the Half-line
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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. 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.
作者 韦煜明 杜波 葛渭高
机构地区 北京理工大学数学系
出处 《徐州师范大学学报（自然科学版）》 CAS 2008年第2期26-29,共4页 Journal of Xuzhou Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10671012)
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
分类号 O175 [理学—基础数学]
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参考文献6

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同被引文献13

  • 1张恭庆 林源渠.泛函分析讲义[M].北京：北京大学出版社,1987.226.
  • 2AGARWAL R P,O'REGAN D. An infinite interval problem arising in circularly symmetric deformations of shallow membrane caps [J]. International Journal of Nonlinear Mechanics, 2004,39(5):779-784.
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  • 8BAI Chuan-zhi,FANG Jin-xuan. On positive solutions of boundary value problems for second-order functional differ- ential equations on infinite intervals[J]. J Math Anal Appl, 2003,282 (2) : 711-731.
  • 9HALE J K ,LUNEL S M V. Introduction to functional differential equations[M]. New York:.Springer-Verlag, 1993.
  • 10MAVRIDIS K G,PHILOS C G,TSAMATOS P C. Multiple positive solutions for a second order delay boundary value problem on the half-line[J]. Annales Poloniei Mathematiei, 2006,88 (2) : 173-191.

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徐州师范大学学报（自然科学版）
2008年 第2期

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