Singularly Perturbed Boundary Value Problems for a Class of Second Order Turning Point on Infinite Interval  

作　　者：Hai-bo LU Ming-kang NI Li-meng WU 

机构地区：[1]Department of Mathematics,East China Normal University,Shanghai 200062,China [2]State Key Laboratory of Brain and Cognitive Sciences,15,Datun Road,Chaoyang District,Beijing

出　　处：《Acta Mathematicae Applicatae Sinica》2012年第3期485-494,共10页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No. 11071075, 11171113);the NNFC-the Knowledge Innovation Program of Chinese Academy of Science (No. 30921064, 90820307);E-Institutes of Shanghai Municipal Education Commission (No. E03004)

摘　　要：This article solved the asymptotic solution of a singularly perturbed boundary value problem with second order turning point, encountered in the dissipative equilibrium vector field of the coupled convection disturbance kinetic equations under the constrained filed and the gravity. Using the matching of asymptotic expansions, the formal asymptotic solution is constructed. By using the theory of differential inequality the uniform validity of the asymptotic expansion for the solution is proved.

关 键 词：singular perturbation asymptotic expansion turning point infinite interval 

分 类 号：O241.8[理学—计算数学] O174.41[理学—数学]