摘要
讨论了一类具有转向点的二阶非线性微分方程奇摄动边值问题 .利用伸长变量和边界层校正法 ,得到了问题解的形式渐近展开式 .再用微分不等式理论 。
This paper discusses a class of singularly perturbed nonlinear boundary value problems for second order nonlinear ordiˉnary differential equation with turning point.Using the stretched variable and the method of boundary layer correction,the forˉmal asymptotic expansion is obtained.And then the uniform validity of the solution is proved by the differential inequalities.
出处
《南京工程学院学报（自然科学版）》
2004年第2期1-6,共6页
Journal of Nanjing Institute of Technology(Natural Science Edition)
基金
南京工程学院科研基金项目 (KXJ0 40 93 )
关键词
转向点
渐近展开
二阶微分方程
非线性边值问题
渐近估计
形式解
singular perturbation
turning point
second order differential equation
nonlinear boundary value problem
asymptotic estimation of solution
