SOLUTION WITH SHOCK-BOUNDARY LAYER AND SHOCK-INTERIOR LAYER TO A CLASS OF NONLINEAR PROBLEMS

• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 年，卷（期）: 2012,（1）
• 页码范围: 87-92
• 页数: 6页
• 分类号: O17

摘要

In this paper,the shock behaviors of solution to a class of nonlinear singularly perturbed problems are considered.Under some appropriate conditions,the outer and interior solutions to the original problem are constructed.Using the special limit and matching theory,the expressions of solutions with the shock behavior near the boundary and some interior points are given and the domain for boundary values is obtained.