华东师范大学学报（自然科学版）Issue(1)：138-150,13.DOI:10.3969/j.issn.1000-5641.2012.01.018
三阶非线性向量常微分方程边值问题的奇摄动
Singular perturbation of BVP for third-order nonlinear VDE
摘要
Abstract
The singularly perturbations for the vector boundary value problem of nonlinear third-order ordinary differential equations were studied. Under certain conditions, the given differential equation was transformed into a diagonalized system, and then the equivalent integral equations was solved. By using the method of succesive approximation and the theorem of fixed point, the existence of the solution of singular perturbation problem was proved and the asymptotic estimation was obtained. Finally, several examples of application were given.关键词
奇异摄动/边值问题/非线性向量微分方程/对角化方法Key words
singular perturbation/boundary value problem/nonlinear vector equation/diagonalization method分类
数理科学引用本文复制引用
林苏榕,倪明康..三阶非线性向量常微分方程边值问题的奇摄动[J].华东师范大学学报（自然科学版）,2012,(1):138-150,13.基金项目
国家自然科学基金(11071075) （11071075）
上海市自然科学基金(10ZR1409200) （10ZR1409200）
上海市教育委员会E-研究院建设项目(E03004) （E03004）
福建广播电视大学科研课题(KY01194) （KY01194）
福建省教育厅科技-项目(JA11288) （JA11288）
