Contrast structure for singular singularly perturbed boundary value problem  

作　　者：王爱峰 倪明康 

机构地区：[1]School of Mathematical Science,Huaiyin Normal University [2]Department of Mathematics,East China Normal University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2014年第5期655-666,共12页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.11071075);the Natural Science Foundation of Shanghai(No.10ZR1409200)

摘　　要：The step-type contrast structure for a singular singularly perturbed problem is shown. By use of the method of boundary function, the formal asymptotic expansion is constructed. At the same time, based on sewing orbit smooth, the existence of the step- type solution and the uniform validity of the asymptotic expansion are proved. Finally, an example is given to demonstrate the effectiveness of the present results.The step-type contrast structure for a singular singularly perturbed problem is shown. By use of the method of boundary function, the formal asymptotic expansion is constructed. At the same time, based on sewing orbit smooth, the existence of the step- type solution and the uniform validity of the asymptotic expansion are proved. Finally, an example is given to demonstrate the effectiveness of the present results.

关 键 词：contrast structure singular singularly perturbation asymptotic expansion boundary function 

分 类 号：O175.8[理学—数学]