一类三阶非线性边值问题的奇异摄动  

On third order boundary value problem containing a small parameter for the derivatives

作　　者：王国灿[1] 

机构地区：[1]大连铁道学院文理分院,辽宁大连116028

出　　处：《纺织高校基础科学学报》2003年第1期34-37,共4页Basic Sciences Journal of Textile Universities

摘　　要：研究了一类三阶奇摄动边值问题εx =f(t,x,x ,ω(ε)x",ε),x(0)=A,x (0)=x (1),x"(0)=x"(1),得到了解的存在性和渐近估计.Singularly perturbed boundary value problems for a class of t hird order nonlinear differentian equations: εx=f(t,x,x ,(ε)x',ε),x(0)=A,x (0)=x (1),x'(0)=x'(1) is studied by upper and lower solutions,the existence and asymptotic estimates of solution are obtained.

关 键 词：存在性 渐近估计 奇摄动边值问题 三阶非线性方程 

分 类 号：O175.8[理学—数学]