特征根在虚轴上的奇异摄动线性Neumann问题：非共振情形
经典分析与常微分方程
2017-09-08 v1
摘要
本文研究非共振奇异摄动线性Neumann边值问题解的存在性与渐近行为：\n\begin{eqnarray*}\n\epsilon y"+ky=f(t),\quad k>0,\quad 0<\epsilon<<1,\quad t\in\langle a,b\rangle\n\end{eqnarray*}\n\begin{equation*}\ny'(a)=0,\quad y'(b)=0.\n\end{equation*}\n我们的方法基于对该问题等价的积分方程的分析。
引用
@article{arxiv.1709.02182,
title = {Singularly perturbed linear Neumann problem with the characteristic roots on the imaginary axis. A non-resonant case},
author = {Robert Vrabel},
journal= {arXiv preprint arXiv:1709.02182},
year = {2017}
}
备注
6 pages; So far unpublished manuscript was originally written in 2010