具有内部层的奇摄动微分差分方程的渐近解

The Asymptotic Solutions of Delay Singularly Perturbed Differential Difference Equations

该文针对一类非线性奇摄动微分差分方程边值问题,用边界层函数法构造了一致有效的渐近解.由于偏差效因,边界层函数的确定困难很多.作者用"缝接法"不但证明了光滑解的存在性,而且给出了余项估计.

For a class of nonlinear singularly perturbed differential difference equations,with the method of boundary layer functions,the authors construct the uniformly valid asymptotic solutions.Because the deviating factor,confirming boundary layer functions was difficulty,but with the method of splice,the author not only gave the smooth solution＇s existence proof,but also the remainder estimation was done.