| THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER SEMILINEAR ELLIPTIC EQUATIONS |
| |
| 作者姓名： | 莫嘉琪 许玉兴 |
| |
| 作者单位： | Dept. of Math，Anhui Normal University，Wuhu 241000，China |
| |
| 摘 要： | Considerasingularlyperturbedproblemforhigherorderselnilinearequationswhereeisasmallpositiveparameter,ndenotesaboundedregioninRe,whereonsignifiesasmoothboundaryofn,misaintegerandjk,gi,k,j=0,',in--1,aresufficientlysmoothfunctionswithregardtotheirvariablesincorrespondenceranges.Modealwiththesingularperturbationforthesecondorder'ellipticequations1],2],thefourthorderequations3]l4]andaclassofhigherorderequations5].Inthispaperttheauthorsconsiderthesingularperturbationforevenmoregeneralhigheror…
|
THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER SEMILINEAR ELLIPTIC EQUATIONS |
| |
| Mo Jiaqi , Xu Yuxing.THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER SEMILINEAR ELLIPTIC EQUATIONS[J].Acta Mathematica Scientia,1997(1). |
| |
| Authors: | Mo Jiaqi Xu Yuxing |
| |
| 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. |
| |
| Keywords: | differential inequality singular perturbation asymptotic expansion elliptic partial differential equation boundary walne problem |
| 本文献已被 CNKI 等数据库收录！ |
