SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEM FOR QUASILINEAR THIRD-ORDER ORDINARY DIFFERENTIAL EQUATIONS INVOLVING TWO SMALL PARAMETERS  

作　　者：林苏榕 田根宝 林宗池 

机构地区：[1]Mathernatical Section, Fujian Broadcasting TV University, Fuzhou 350003, P R China [2]Department of Mathematics, S hanghai Railroad University, S hanghai 200333, P R China [3]Department of Mathernatics, Fujian Normal University, Fuzhou 350007, P R China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2001年第2期229-236,共8页应用数学和力学（英文版）

摘　　要：The singularly perturbed boundary value problem for quasilinear third-order ordinary differential equation involving two small parameters has been considered. For the three cases epsilon/mu (2) --> 0(mu --> 0), mu (2)/epsilon --> 0(epsilon --> 0) and epsilon = mu (2), the formal asymptotic solutions are constructed by the method of two steps expansions and the existences of solution are proved by using the differential inequality method. In addition, the uniformly valid estimations of the remainder term are given as well.The singularly perturbed boundary value problem for quasilinear third-order ordinary differential equation involving two small parameters has been considered. For the three cases epsilon/mu (2) --> 0(mu --> 0), mu (2)/epsilon --> 0(epsilon --> 0) and epsilon = mu (2), the formal asymptotic solutions are constructed by the method of two steps expansions and the existences of solution are proved by using the differential inequality method. In addition, the uniformly valid estimations of the remainder term are given as well.

关 键 词：two-parameters singular perturbation boundary value problem asymptotic expansion 

分 类 号：O175.3[理学—数学]