首页 | 本学科首页   官方微博 | 高级检索  
     

奇摄动三阶半线性三点边值问题
引用本文:许国安,余赞平,周哲彦. 奇摄动三阶半线性三点边值问题[J]. 福建师范大学学报(自然科学版), 2006, 22(3): 6-9,19
作者姓名:许国安  余赞平  周哲彦
作者单位:福建师范大学数学与计算机科学学院,福建,福州,350007
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.

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
文章编号:1000-5277(2006)03-0006-04
收稿时间:2005-09-20
修稿时间:2005-09-20

Singular Perturbation of Three-point Boundary Value Problem for Third Order Semilinear Differential Equations
XU Guo-an,YU Zan-ping,ZHOU Zhe-yan. Singular Perturbation of Three-point Boundary Value Problem for Third Order Semilinear Differential Equations[J]. Journal of Fujian Teachers University(Natural Science), 2006, 22(3): 6-9,19
Authors:XU Guo-an  YU Zan-ping  ZHOU Zhe-yan
Affiliation:School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China
Abstract: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.
Keywords:third order differential equation    three-point boundary value problem    singular perturbation   differential inequality   existence   uniqueness
本文献已被 CNKI 维普 万方数据 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号