摘要
本文应用多重尺度法构造出非线性微分方程组的解的渐近展开式。并用微分不等式的技巧，证明原问题的解的存在性，且给出解的一致有效渐近估计．
In this Pace, We consider the two species competition model of the first-order nonliner differential equations. By using the methods of multiple scales, the asymptotic expansions of solution is considered,and using the technique of differential inequality we prove the existence of solution of the oriqinal Problem,and give the uniformly valid asmptotic estimation of the solution.
出处
《大学数学》
1995年第3期58-61,共4页
College Mathematics
基金
国家自然科学基金
关键词
奇摄动
多重尺度法
渐近展开式
微分不等式
Singular perturbation,The methods of multipel scles,Asymptotic expanaion,Differential inequality
