摘要
主要研究一类滞后型泛函微分方程边值问题解的存在性.首先利用数学分析知识给出了关于先验界的引理,再对原方程作算子变换,引入扩张算子,最后,运用著名的Mawhin重合度理论证明了这类问题解的存在性的充分条件.这个理论性的结果对于工科应用很有价值.
By means of mathematical analysis, some lemmas are obtained. Degree theory is employed to prove the existence of solution for boundary value problem of retarded equations with two orders. This theoretical conclusion is of great value to technological applications.
关键词
时滞微分方程
拓扑度
边值问题
delay differential equations
continuation theorem
boundary value problem
