摘要
考虑一类具有双参数的二阶拟线性微分方程奇摄动内层问题,在适当的条件下,利用微分不等式及内部层校正理论构造了该问题的上、下解,证明了解的存在性,并给出了解的渐近估计.
Singularly perturbation inner layer problems for a class of quasilinear second order differential equation with two parameters were discussed.Under appropriate conditions,specific upper and lower solutions were constructed,then prove the existence of the solutions;and the asymptotic estimate of solutions was given according to the theory of differential inequality and the correction of interior layer.
出处
《吉林大学学报(理学版)》
CAS
CSCD
北大核心
2014年第2期201-204,共4页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11201004)
安徽省高校自然科学基金重点项目(批准号:KJ2011A135)
关键词
奇摄动
内层
双参数
微分不等式
singular perturbation
inner layer
two parameters
differential inequalities