Existence and Uniqueness of Positive Solution to a Boundary Value Problem for a Nonlinear Second Order Functional-Differential Equation

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.