二次方程的奇摄动问题  

Singularly Perturbed Robin Problems of Second Degree Equation

作　　者：汤小松[1] 

机构地区：[1]井冈山大学数理学院,江西吉安343009

出　　处：《太原理工大学学报》2008年第5期537-538,542,共3页Journal of Taiyuan University of Technology

基　　金：吉安市指导性重点科技计划项目(JSK0528);井冈山学院自然科学基金资助项目

摘　　要：利用微分不等式理论,研究了二次方程的奇摄动Robin边值问题。在适当的条件下,构造出具体的上下解,证明了解的存在性,并得到了解的一致有效渐近展开式。Singularly perturbed Robin problems of second degree equation is studied in this paper by means of differential inequality theories. Under suitable assumptions, the author constructs specific upper and lower solutions, proves the existence of solutions, and obtains the uniformly valid asymptotic expansions of the solutions.

关 键 词：二次方程 奇摄动 一致有效 形式渐近解 

分 类 号：O175.1[理学—数学]