奇摄动三阶非线性边值问题解的存在性和惟一性  

Existence and uniqueness of solutions for singularly perturbed third order nonlinear boundary value problems

作　　者：王国灿[1] 

机构地区：[1]大连交通大学应用数学教研室,辽宁大连116028

出　　处：《纺织高校基础科学学报》2005年第1期29-32,共4页Basic Sciences Journal of Textile Universities

摘　　要：利用微分不等式技巧,研究了三阶微分方程非线性边值问题的奇摄动,得到了解的存在性、惟一性及其渐近估计.The third order singularly perturbed boundary value problem are studied.Using the method of (differential) inequality existence and uniqueness of solutions are obtained.In addition,asymptotic estimates of solutions are obtained.

关 键 词：三阶微分方程 非线性边值问题 奇摄动 微分不等式 

分 类 号：O175.8[理学—数学]