非线性奇摄动边值问题的渐近展开

Uniformly Valid Expansions of Soiutions to NonlinearSingiilarly Perturbed Boundary Value Problems

英文关键词:uniformly valid expansion  singularly perturbation  bourdary value problem  upper and lower solutions

中文摘要:

      本文用上下解方法给出了含小参数ε＞０的非线性奇摄动边界问题（１．１）－（１．２）（周期边界问题为其特例）解的一致有效的渐近展开式．

英文摘要:

      In this paper we will give unifornily valid expansions of solutions for boundaiyvalue problenis (1.1)-(1.2) (tcontaining periodic boundary condition as a special case)witli a paranieter ε > 0, by nieans of the upper and lower solution niethod.