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Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (7): 637-650.

• 论文 • 上一篇    下一篇

ASYMPTOTIC SOLUTION OF SINGULAR PERTURBATION PROBLEMS FOR THE FOURTH-ORDER ELLIPTIC DIFFERENTIAL EQUATIONS

苏煜城, 刘国庆   

  1. Nanjing University, Nanjing
  • 收稿日期:1989-09-05 出版日期:1990-07-18 发布日期:1990-07-18

ASYMPTOTIC SOLUTION OF SINGULAR PERTURBATION PROBLEMS FOR THE FOURTH-ORDER ELLIPTIC DIFFERENTIAL EQUATIONS

Su Yu-cheng, Liu Guo-qing   

  1. Nanjing University, Nanjing
  • Received:1989-09-05 Online:1990-07-18 Published:1990-07-18

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摘要： In this paper we consider the singularly perturbed boundary value problem for the fourth-order elliptic differential equation, establish the energy estimates of the solutionand its 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 the asymptotic solution.

Abstract: In this paper we consider the singularly perturbed boundary value problem for the fourth-order elliptic differential equation, establish the energy estimates of the solutionand its 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 the asymptotic solution.

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