【摘要】 本文研究n阶非线性过值问题(NB)的奇异摄动。在较一般的条件下,应用高阶微分不等式理论证明了摄动解的存在性,并给出了摄动解直到n阶导函数的一致有效渐近展开式,推广和改进了已有的结果。更多还原

【Abstract】 In the present paper, the singular perturbations for the nth-order nonlinear boundaryvalue problem (NB) are investigated. Under some mild conditions, the existence of theperturbed solution is proved and its uniformly valid asymptotic expansion up to its nth-or-der derivative function is given out by employing the higher order differential inequalities.So we extend and improve the existing results obtained.更多还原