一类Tikhonov方程组的奇异奇摄动边值问题

Boundary Value Problems of A Class of Singulalar Singularly Perturbed Tikhonov Equations

研究了一类具有慢变量的Tikhonov方程组的奇异奇摄动边值问题解的存在惟一性和一致有效性,利用边界函数法,在适当条件下成功构造了所论问题解的一致有效的渐近展开式,并得到了渐近解的误差估计。

This paper presents singular singularly perturbed of Tikhonov boundary value problem for a class of second order quasilinear systems.Under appopriate assumptions by using the method of boundary functions,the existence and local uniqueness of solutions,constructions of asymptotic solutions and their uniform validity of the problem are studied and the estimation of the corresponding remainder term are given as well in the paper.