A SINGULARLY PERTURBED PROBLEM OF THIRD ORDER EQUATION WITH TWO PARAMETERS  

作　　者：Cheng Ouyang (Dept. of Math., Huzhou Teachers College, Huzhou 313000, Zhejiang) 

出　　处：《Annals of Differential Equations》2009年第4期432-437,共6页微分方程年刊（英文版）

基　　金：Supported by the Natural Science Foundation of Zhejiang Province (Y606268)

摘　　要：A singularly perturbed problem of third order equation with two parameters is studied. Using singular perturbation method, the structure of asymptotic solutions to the problem is discussed under three possible cases of two related small parameters. The results obtained reveal the different structures and limit behaviors of the solutions in three different cases. And in comparison with the exact solutions of the autonomous equation they are relatively perfect.A singularly perturbed problem of third order equation with two parameters is studied. Using singular perturbation method, the structure of asymptotic solutions to the problem is discussed under three possible cases of two related small parameters. The results obtained reveal the different structures and limit behaviors of the solutions in three different cases. And in comparison with the exact solutions of the autonomous equation they are relatively perfect.

关 键 词：two parameters asymptotic solution singular perturbation 

分 类 号：O175.4[理学—数学]