一类双参数奇摄动边值问题的内层解  

Inner Layer Solutions for a Class of Singularly Perturbed Boundary Value Problems with Two Parameters

作　　者：周克浩[1] 杨雪洁[1] 姚静荪[1] 

机构地区：[1]安徽师范大学数学计算机科学学院,安徽芜湖241003

出　　处：《吉林大学学报（理学版）》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)

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.

关 键 词：奇摄动 内层 双参数 微分不等式 

分 类 号：O175.14[理学—数学]