BOUNDARY VALUE PROBLEM FOR A SINGULARLY PERTURBED NONLINEAR SYSTEM

作     者：黄蔚章 

作者机构：Fuqing Branch of Fujian Normal University Fuqing P.R. China 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：1997年第18卷第6期

页      面：575-584页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Natural Science Foundation of Fujian Province 

主　　题：nonlinear system boundary value problem diagonalization singular perturbation 

摘      要：In this paper, by the technique and the method of diagonalization, the boundary value problem for second order singularly perturbed nonlinear system as follows is dealt with: epsilon y =f(t, y, y , epsilon), y(0, epsilon)=a(epsilon), y(1,epsilon)=b(epsilon) The existance of the solution and its asymptotic properties are discussed when the eigenvalues of Jacobi matrix f(y ) has K negative real parts and N-K positve real parts.