INITIAL LAYER PHENOMENA FOR A CLASS OF SINGULAR PERTURBED NONLINEAR SYSTEM WITH SLOW VARIABLES  

作　　者：黄蔚章 陈育森 

机构地区：[1]Fujian Normal University Fuqing Branch

出　　处：《Applied Mathematics and Mechanics(English Edition)》2004年第7期836-844,共9页应用数学和力学（英文版）

基　　金：ScientificResearchProjectofFujianProvinceEducationDepartmentofChina(JB0 0 0 40 )

摘　　要：The initial layer phenomena for a class of singular perturbed nonlinear system with slow variables are studied. By introducing stretchy variables with different quantity levels and constructing the correction term of initial layer with different 'thickness', the N-order approximate expansion of perturbed solution concerning small parameter is obtained, and the 'multiple layer' phenomena of perturbed solutions are revealed. Using the fixed point theorem, the existence of perturbed solution is proved, and the uniformly valid asymptotic expansion of the solutions is given as well.The initial layer phenomena for a class of singular perturbed nonlinear system with slow variables are studied. By introducing stretchy variables with different quantity levels and constructing the correction term of initial layer with different 'thickness', the N-order approximate expansion of perturbed solution concerning small parameter is obtained, and the 'multiple layer' phenomena of perturbed solutions are revealed. Using the fixed point theorem, the existence of perturbed solution is proved, and the uniformly valid asymptotic expansion of the solutions is given as well.

关 键 词：singular perturbation initial layer asymptotic expansion 

分 类 号：O19[理学—数学]