Positive Solution of Singularly Perturbed Dirichlet Problem with Singularities  

作　　者：Li-hua CHEN Jia-qi MO 

机构地区：[1]Department of Mathematics and Computer Science,Fuqing Branch of Fujian Normal University [2]Anhui Normal University [3]Faculty of Science,Huzhou Teacher College

出　　处：《Acta Mathematicae Applicatae Sinica》2014年第3期611-616,共6页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.40876010);the"Strategic Priority Research Program-Climate Change:Carbon Budget and Relevant Issues" of the Chinese Academy of Sciences(No.XDA01020304);the Natural Science Foundation from the Education Bureau of Anhui Province(No.KJ2011A135);the Foundation of the Education Department of Fujian Province,China(No.JA10288);the Natural Science Foundation of Jiangsu Province(No.BK2011042)

摘　　要：A class of singularly perturbed boundary value problem with singularities is considered. Introducing the stretched variables, the boundary layer corrective terms near x = 0 and x = 1 are constructed. Under suitable conditions, by using the theory of differential inequalities the existence and asymptotic behavior of solution for boundary value problem are proved, uniformly valid asymptotic expansion of solution with boundary layers are obtained,A class of singularly perturbed boundary value problem with singularities is considered. Introducing the stretched variables, the boundary layer corrective terms near x = 0 and x = 1 are constructed. Under suitable conditions, by using the theory of differential inequalities the existence and asymptotic behavior of solution for boundary value problem are proved, uniformly valid asymptotic expansion of solution with boundary layers are obtained,

关 键 词：nonlinear singular equation singular perturbation boundary value problem 

分 类 号：O175[理学—数学]