一阶非线性中立型方程组非振动解的存在性

Existence of Nonoscillatary Solution for First Order Nonlinear Neutral Differential Systems

利用Ｋｒａｓｎｏｓｅｌｓｋｉｉ不动点定理，得到了一类非线性中立型方程组存在趋于均为正（负）分量的非振动解的充分必要条件。

Using Krasnoselskii fixed point theorem, the necessary and sufficient conditions for existence of nonoscillatary solutions are obtained, which tend to constant vector with positive components(or negative components) for a class of first order nonlinear neutral differential systems.