高维非线性系统边值问题的奇摄动

Singular Perturbation of Boundary Value Problem of Higher Dimensional Nonlinear Systems

利用渐近方法和对角化技巧研究了伴有边界摄动的高维非线性系统边值问题的奇摄动，在适当的假设下，证得摄动问题解的存在并导出其解关于ε的高阶近似．

By using asymptoic method and diagonolization technique,this paper considers the singular perturbation of boundary value problem of higher dimensional nonlinear systems with borndary perturbation.Under appropriate assumptions the existence of solution of perturbation problem has been proved and the higher order approximation of its solution with respect to εis derived as well.