一类三点边值问题的微分不等式及其奇异摄动  

Differential Inequalities and Singular Perturbation for a Class of Three-pointed Boundary Value Problem

作　　者：张琼渊[1] 彭寅飞[2] 

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 [2]北京理工大学理学院,北京100081

出　　处：《福建师范大学学报（自然科学版）》2008年第1期31-35,共5页Journal of Fujian Normal University：Natural Science Edition

基　　金：福建省科技厅基金资助项目(2005K028);福建省教育厅基金资助项目(JB06098);福建省自然科学基金资助项目(S0650010)

摘　　要：在已有的理论基础上研究二阶非线性微分方程三点边值问题的微分不等式理论与解的存在性.然后利用所得的结果研究二阶拟线性微分方程三点边值问题的奇异摄动现象及解关于退化解的误差估计.The theory of differential inequalities and the existence of solutions of a class of three-pointed boundary value problem for second order nonlinear differential equations are considered baseing on the existenced results. Then the results obtained is applied to research the singular perturbation differential equation of three-pointed boundary value problem for second order selinear differential equations. Furthermore, error estimate of the solution is gived.

关 键 词：三点边值问题 二阶 微分不等式 奇异摄动 

分 类 号：O175.1[理学—数学]