一类泛函微分方程单增解的存在性

Existence of Solution to a Class of Differential-iterative Equations

本文利用Schauder不动点定理,研究了自治迭代泛函微分方程x'(t)=f(x^(N)(t))的解的情况,给出了解存在的条件.

:The paper studies the existence and behavior of solutions to the functional differen-tial equation x'(t) =f(x(n)(t)) and gives the condition for the existence of solutions by usingSchauder fixed point theorem.