一类带小参数的三阶非线性边值问题  

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

出　　处：《大连铁道学院学报》2002年第3期8-11,共4页Journal of Dalian Railway Institute

摘　　要：研究了带小参数的一类三阶边值问题:εx'n=f(t,x,x',ε),x(0),x(0)=A,x'(0)=x'(1),xn(0)=xn(1),得到解的存在性和渐进估计.This article shows the existence and asymptotic estimate solutions of singularly perturbed boundary value problems for a class of third order nonlinear differential equations: εxn'=f(t, x, x', ε), x(0) = A, x'(0) = x'(1), xn(0) = xn(l) by upper and lower solutions.

关 键 词：非线性方程 三阶边值问题 存在性 渐进估计 

分 类 号：O175.8[理学—数学]