吉林大学学报（理学版）2021，Vol.59Issue(6)：1303-1309,7.DOI:10.13413/j.cnki.jdxblxb.2021186
一类分段光滑临界半线性奇摄动微分方程的空间对照结构解
Spatial Contrast Structural Solution of a Class of Piecewise-Smooth Critical Semilinear Singularly Perturbed Differential Equation
摘要
Abstract
We considered the boundary value problem of a class of piecewise-smooth singularly perturbed ordinary differential equation with critical case.Firstly,we constructed a asymptotical approximation of solution with internal and boundary layers by using the boundary function method and smooth matching method.Then we used the intermediate value theorem to prove the existence of solution of the problem,and gave the accuracy of the constructed asymptotical approximation.关键词
空间对照结构/渐近展开/边界层函数法/光滑缝接法/奇异摄动理论Key words
spatial contrast structure/asymptotical approximation/boundary function method/smooth matching method/singular perturbation theory分类
数理科学引用本文复制引用
LIUBAVIN Aleksei,倪明康,吴潇..一类分段光滑临界半线性奇摄动微分方程的空间对照结构解[J].吉林大学学报（理学版）,2021,59(6):1303-1309,7.基金项目
国家自然科学基金(批准号:11871217)和上海市科委基金(批准号:18dz2271000). （批准号:11871217）
