一类二阶时滞微分方程三点边值迭代解的存在性

摘要

利用上下解方法和M aw hin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 .