奇摄动三阶半线性三点边值问题  

Singular Perturbation of Three-point Boundary Value Problem for Third Order Semilinear Differential Equations

作　　者：许国安[1] 余赞平[1] 周哲彦[1] 

机构地区：[1]福建师范大学数学与计算机科学学院,福建福州350007

出　　处：《福建师范大学学报（自然科学版）》2006年第3期6-9,19,共5页Journal of Fujian Normal University：Natural Science Edition

基　　金：福建省教育厅基金资助项目(JA03172)

摘　　要：在已有理论基础上研究了奇摄动三阶半线性微分方程三点边值问题,在适当条件下证明了其解的存在性及唯一性,构造其高阶渐近解并得到了高阶渐近解与精确解的误差估计.By the theory of differential inequalities ,study the singularly perturbation of three-point boundary value problem for third order semilinear differential equations. Under the proper condition, prove the existence and uniqueness of solution , construct the higher order asymptotic solution and get the error estimate of asymptotic solution and exact solution.

关 键 词：三阶微分方程 三点边值问题 奇摄动 微分不等式 存在性 唯一性 

分 类 号：O175.1[理学—数学]