含双参数的三阶非线性两点边值问题的套层解(英文)  

Jacketed Solution of Two Points Boundary Value Problem for Third Order Nonlinear Differential Equation Involving Two Small Parameters

作　　者：程燕[1] 

机构地区：[1]中国人民解放军炮兵学院数学教研室,安徽合肥230031

出　　处：《大学数学》2003年第3期46-49,共4页College Mathematics

摘　　要：对含双参数且有套层解的一类三阶非线性微分方程的边值问题的渐近解做了估计 ,得到了任意次近似的一致有效的渐近展开式 .An asymptotic solution of boundary value problems for a class of third order nonlinear differential equations both involving two parameters and jacketed layer is estimated. In addition, the uniformly valid asymptotic expansion of solution of any orders is obtained.

关 键 词：双参数 奇摄动 边值问题 渐近展开 三阶非线性微分方程 

分 类 号：O175.8[理学—数学]