带分布时滞中立型微分方程正解的存在性

Existence of Positive Solution of Neutral Differential Equation with Distributed Delay

主要运用Banach压缩映像原理,研究了分布时滞中立型微分方程ddty(t)+∫abP(t,θ)y(t-θ)dθ+∫cdQ(t,θ)y(t-θ)dθ=0正解的存在性问题,获得了正解存在的充分条件,推广了相关文献的结果.

We utilized Banach contraction principle to consider the existence of positive solutions for differential equation with distributed delay as follow d/dt[y（t）＋∫a^b P（t,θ）y（t-θ）dθ]＋∫c^d Q（t,θ）y（t-θ）dθ=0 and we obtained sufficient conditions which extended existed solution in relevant reference.