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ASYMPTOTIC SOLUTION OF SINGULAR PERTURBATION PROBLEMS FOR THE FOURTH-ORDER ELLIPTIC DIFFERENTIAL EQUATIONS
作者姓名:苏煜城  刘国庆
摘    要:In this paper we consider the singularly perturbed boundary value problem for thefourth-order elliptic differential equation,establish the energy estimates of the solutionandits derivatives and construct the formal asymptotic solution by Lyuternik-Vishik’s method.Finally,by means of the energy estimates we obtain the bound of the remainder of theasymptotic solution.

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