具有罗宾边值条件的一类奇摄动微分方程的内部层

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Internal layers for a singularly perturbed differential equation with Robin boundary value condition

1.
School of Mathematical Sciences, East China Normal University, Shanghai　200241, China

摘要: 本文研究了一类具有罗宾边值条件的二阶奇摄动右端不连续微分方程, 用边界层函数法构造了该类方程解的渐近表达式, 最后用缝接法证明了该问题解的存在性, 并给出了渐近解的余项估计.
- 奇摄动 /
- 渐近表达式 /
- 罗宾边值条件 /
- 内部层
Abstract: In this paper, we consider a second order singularly perturbed equation with a discontinuous right-hand function and Robin boundary value condition. Applying the boundary layer function method, we can construct an asymptotical approximation of the solution. We also prove the existence of the solution and obtain an estimation of the remainder based on the matching method.
- singular perturbation /
- asymptotic approximation /
- Robin boundary value condition /
- internal layer

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