A CLASS OF n-POINT BOUNDARY VALUE PROBLEM FOR THIRD-ORDER NONLINEAR DIFFERENTIAL EQUATIONS  

作　　者：Zhang Qiongyuan Yu Zanping Zhou Zheyan 

机构地区：[1]School of Math. and Computer Science, Fujian Normal University, Fuzhou 350007

出　　处：《Annals of Differential Equations》2007年第4期586-592,共7页微分方程年刊（英文版）

基　　金：the Natural Science Foundation of Fujian Province (S0650010);Fujian Provincial Department of Sci.& Tech.(2005K028);Department of Education of FuJian Province (JB06098)

摘　　要：In this paper, we first obtain the existence of solution to some n-point boundary value problem for third-order differential equations using upper and lower solutions method. Based on the results, we explore singular perturbation of another n-point boundary value problem for third-order differential equations with a small positive parameter. Finally, a uniformly valid asymptotic solution is constructed and the error estimation is given.In this paper, we first obtain the existence of solution to some n-point boundary value problem for third-order differential equations using upper and lower solutions method. Based on the results, we explore singular perturbation of another n-point boundary value problem for third-order differential equations with a small positive parameter. Finally, a uniformly valid asymptotic solution is constructed and the error estimation is given.

关 键 词：third-order differential equation n-point BVP singular perturbation 

分 类 号：O175[理学—数学]