一阶超前中立微分方程解的存在性

Existence of Solutions to the First Order Advanced Neutral Differential Equation

对于滞后的一阶中立型微分方程,已有的结果是:该方程存在有界正解的充分必要条件。但是对于超前一阶中立微分方程的情况是否有相似的结果是未知的。因此研究了超前一阶中立微分方程,得到该方程存在有界正解的充分必要条件。

The first order delay neutral differential equation has been achieved. For the equation, the references have ob- tained a sufficient and necessary condition of existence of the bounded positive solutions. However, for the advanced type, whether there is a similar conclusion or not is unknown. The paper studied the type and has obtained a sufficient and neces- sary condition of existence of the bounded positive solutions.