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奇摄动三阶拟线性微分方程的无穷边值问题

韩建邦 余赞平 周哲彦

福建师范大学学报(自然科学版)2013,Vol.29Issue(2):6-10,15,6.
福建师范大学学报(自然科学版)2013,Vol.29Issue(2):6-10,15,6.

奇摄动三阶拟线性微分方程的无穷边值问题

Singularly Perturbed Infinite Boundary Value Problem for Third-order Quasi-linear Differential Equations

韩建邦 1余赞平 1周哲彦1

作者信息

  • 折叠

摘要

Abstract

Under given conditions, the higher-order asymptotic expansion of solution to infinite two-point boundary value problem for singularly perturbed third-order nonlinear differential equation is studyed, the theory of differential inequalities is used to prove the existence of solution and its as ymptotic estimates.

关键词

三阶非线性微分方程/高阶渐近展开/奇异摄动/解的存在性/无穷边值问题

Key words

third-order nonlinear differential equation/higher-order asymptotic expansion/singular perturbation/existence of solution/infinite boundary value problem

分类

数理科学

引用本文复制引用

韩建邦,余赞平,周哲彦..奇摄动三阶拟线性微分方程的无穷边值问题[J].福建师范大学学报(自然科学版),2013,29(2):6-10,15,6.

基金项目

国家自然科学基金资助项目(11201072) (11201072)

福建师范大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1000-5277

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