Asymptotic solutions of singularly perturbed second-order differential equations and application to multi-point boundary value problems

作者：Du Zengji^*; Kong Lingju

来源：Applied Mathematics Letters, 2010, 23(9): 980-983.

DOI：10.1016/j.aml.2010.04.021

• Singular perturbation
• Asymptotic solutions
• Liouville-Green transform
• Multi-point boundary value problems

In this work, a singularly perturbed second-order ordinary differential equation is solved by applying a new Liouville-Green transform and the asymptotic solutions are obtained. As an application, we employ our results in discussing a second-order multi-point boundary value problem.

• 出版日期2010-9
• 单位江苏师范大学