摘要
利用上下解方法和Mawhin连续性定理研究了一类二阶时滞微分方程三点边值问题.得到了这类边值问题解存在的充分条件,并建立了收敛到该解的单调迭代序列,推广和改进了一些已有文献的结果.
T hree‐point boundary value problems of a class of second‐order delay differential e‐quations was studied .By using upper and lower solutions technique and Mawhin′s continuation theorem ,some sufficient conditions on the existence of solutions for this boundary value prob‐lem are obtained .Besides ,corresponding iterative schemes w hich converge to the solution are established .Some known references results are extended and improved .
出处
《纺织高校基础科学学报》
CAS
2015年第2期218-223,共6页
Basic Sciences Journal of Textile Universities
基金
国家自然科学基金资助项目(11271364)
陕西工业职业技术学院科研项目(zk13-40)
关键词
二阶时滞微分方程
三点边值问题
上下解
单调迭代
Mawhin定理
second-order delay differential equations
three point boundary value problem
upper and lower solution
monotone iteration
Mawhin′s theorem
