This work continues a series of author's papers devoted to the problems of the existence and uniqueness of positive solutions of boundary value problems for nonlinear second order functional-differential equations. We study a boundary value problem for a nonlinear second order functional-differential equation with homogeneous boundary conditions. Based on the theory of semi-ordered spaces and with the help of special topological tools we establish the existence of a unique positive solution to the problem.

中文翻译：

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非线性二阶泛函微分方程边值问题正解的存在唯一性。

这项工作是一系列作者论文的继续，致力于非线性二阶泛函微分方程边值问题正解的存在性和唯一性问题。我们研究了具有齐次边界条件的非线性二阶泛函微分方程的边值问题。基于半有序空间理论，并借助特殊的拓扑工具，我们确定了该问题的唯一肯定解。