三阶微分方程非线性三点边值条件的奇摄动  

Third order singular perturbation boundary value problem with nonlinear three-point boundary value condition

作　　者：金丽[1] 王国灿[1] 

机构地区：[1]大连交通大学理学院,辽宁大连116028

出　　处：《纺织高校基础科学学报》2009年第3期341-345,共5页Basic Sciences Journal of Textile Universities

摘　　要：讨论了三阶非线性微分方程三点非线性边值问题的奇摄动.首先利用积分算子和微分不等式技巧,得到了解的存在性和唯一性;其次在适当的条件下,通过构造具体的上下解建立了解的渐近估计.结果表明,这种技巧为其他三阶奇摄动边值问题的研究提出了一种新的思路.In this paper, singular perturbation of three-point boundary value problem for third order nonlinear equation was studied by making use of Volterra type integral operator and differential inequality techniques, existence and uniqueness were obtained. The upper and lower solutions were constructed under specific condition, and asymptotic was established. The use of these techniques to study for these kinds of third-order singularly perturbed boundary value problems seems to be new.

关 键 词：三阶非线性方程 三点线性边值问题 微分不等式 奇摄动 

分 类 号：O175.8[理学—数学]