一类n阶非线性Robin边值问题的奇异摄动

SINGULAR PERTURBATIONS FOR A CLASS OF nTH-ORDER NONLINEAR MIXED BOUNDARY VALUE PROBLEM

在退化解为稳定的假定之下 ,研究一类 n阶非线性微分方程的 Robin边值问题摄动解的存在性及渐近性 。

Assuming that the reduced solution is stable, the existence and asymptotic behavior of perturbed solution for a class of n th order nonlinear mixed boundary value problem are investigated. The accurate estimations of the differences between the perturbed solutions and the reduced solutions are given out in this paper.