THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER SEMILINEAR ELLIPTIC EQUATIONS

数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (1): 44-50.

THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER SEMILINEAR ELLIPTIC EQUATIONS

莫嘉琪, 许玉兴

Dept. of Math, Anhui Normal University, Wuhu 241000, China

收稿日期:1994-07-26 修回日期:1995-02-16 出版日期:1997-03-25 发布日期:1997-03-25
基金资助:
Support by National Natural Science Foundation of China.

THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER SEMILINEAR ELLIPTIC EQUATIONS

Mo Jiaqi, Xu Yuxing

Dept. of Math, Anhui Normal University, Wuhu 241000, China

Received:1994-07-26 Revised:1995-02-16 Online:1997-03-25 Published:1997-03-25
Supported by:
Support by National Natural Science Foundation of China.

摘要/Abstract

摘要： In this paper a singular perturbation of boundary value problem for elliptic partial differential equations of higher order is considered by using the differential inequalities. The uniformly valid asymptotic expansion in entire region is obtained.

关键词: differential inequality, singular perturbation, asymptotic expansion, elliptic partial differential equation, boundary walne problem

Abstract: In this paper a singular perturbation of boundary value problem for elliptic partial differential equations of higher order is considered by using the differential inequalities. The uniformly valid asymptotic expansion in entire region is obtained.

Key words: differential inequality, singular perturbation, asymptotic expansion, elliptic partial differential equation, boundary walne problem

莫嘉琪, 许玉兴. THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER SEMILINEAR ELLIPTIC EQUATIONS[J]. 数学物理学报(英文版), 1997, 17(1): 44-50.

Mo Jiaqi, Xu Yuxing. THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER SEMILINEAR ELLIPTIC EQUATIONS[J]. Acta mathematica scientia,Series B, 1997, 17(1): 44-50.

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THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER SEMILINEAR ELLIPTIC EQUATIONS

THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER SEMILINEAR ELLIPTIC EQUATIONS

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