一类奇摄动三阶非线性方程边值问题

A class of boundary-value problem with singular perturbation for third-order nonlinear equations

以变换未知函数的方式对一类具有转向点的三阶非线性方程奇摄动边值问题证明解的存在性,并给出了解的一致有效渐进估计.

The existence of solution to a class of singularly perturbed nonlinear boundary-value problems with turning points for third-order nonlinear equations is proved by means of unknown function transformation, so that the uniformly valid asymptotic estimation of solution is given.