Asymptotic solutions for a second-order differential equation with three-point boundary conditions

作者：Du Zengji^*; Bai Zhanbing

来源：Applied Mathematics and Computation, 2007, 186(1): 469-473.

DOI：10.1016/j.amc.2006.07.110

• multi-point boundary value problem
• asymptotic solutions

In this paper, we are concerned with the following singularly perturbed second-order three-point boundary value problem
[GRAPHICS]
where 0 < eta < 1.A, alpha is an element of R, lambda is a parameter, q(1) is an element of C-2[0,1],q(2) is an element of C[0,1]. The asymptotic solutions of the problem are given by using the method of nonlinear analysis and Liouville-Green transform.

• 出版日期2007-3-1
• 单位江苏师范大学; 山东科技大学