一类非线性三阶方程的奇摄动三点边值问题(英文)  

Singularly Perturbation for Three Points Boundary Value Problem of Nonlinear Third Order Equation

作　　者：李钱芳[1] 姚静荪[1] 陈婷[1] 

机构地区：[1]安徽师范大学数学计算机科学学院

出　　处：《安徽师范大学学报（自然科学版）》2010年第4期326-331,共6页Journal of Anhui Normal University(Natural Science)

基　　金：Supported by Natural Science Foundation of Anhui Province of China(No.050460103)

摘　　要：在适当的条件下,利用微分不等式理论和边界层校正法,我们证明了一类非线性三阶方程的奇摄动三点边值问题的解的存在性,并得到了解的一致有效渐近展开式.The singularly perturbation for there points boundary value problem of nonlinear third order equation is studied in this paper by means of differential inequality theories and the method of boundary layer correction.Under suitable assumptions,the author constructs specific upper and lower solutions,proves the existence of the solutions,and obtains the uniformly valid asymptotic expansion of the solutions.

关 键 词：奇摄动 三点边值问题 上下解 

分 类 号：O175.14[理学—数学]