A CLASS OF n-POINT BOUNDARY VALUE PROBLEM FOR THIRD-ORDER NONLINEAR DIFFERENTIAL EQUATIONS
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.
third-order differential equation n-point BVP singular perturbation
Zhang Qiongyuan Yu Zanping Zhou Zheyan
School of Math. and Computer Science, Fujian Normal University, Fuzhou 350007
国际会议
广州
英文
586-592
2007-12-09(万方平台首次上网日期,不代表论文的发表时间)