华东师范大学学报（自然科学版）Issue(1)：1-9,9.DOI:10.3969/j.issn.1000-5641.2022.01.001
一类右端不连续的奇摄动二阶半线性微分方程解的稳定性态
Stability of the solution to a singularly perturbed semilinear second-order differential equation with discontinuous right-hand side
刘乐思 1倪明康1
作者信息
- 1. 华东师范大学数学科学学院,上海 200241
- 折叠
摘要
Abstract
In this paper, a stationary problem for the reaction-diffusion equation with a discontinuous right-hand side is considered. Based on ideas from contrast structure theory, the asymptotic representations for eigenvalues and eigenfunctions are constructed by solving a Sturm-Liouville problem and an estimation of the remainder is obtained. Moreover, a sufficient condition which guarantees the stability of the solution to this task is established.关键词
奇摄动/渐近逼近/稳定性/反应扩散方程Key words
singular perturbations/asymptotic approximations/stability/reaction-diffusion equation分类
数理科学引用本文复制引用
刘乐思,倪明康..一类右端不连续的奇摄动二阶半线性微分方程解的稳定性态[J].华东师范大学学报（自然科学版）,2022,(1):1-9,9.
