| BIFURCATION SOLUTION BRANCHESAND THEIR NUMERICAL APPROXIMATIONS OF A SEMI-LINEAR ELLIPTIC PROBLEM WITH TWO PARAMETERS |
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| 引用本文： | 李开泰,黄艾香,王贺元. BIFURCATION SOLUTION BRANCHESAND THEIR NUMERICAL APPROXIMATIONS OF A SEMI-LINEAR ELLIPTIC PROBLEM WITH TWO PARAMETERS[J]. 应用数学学报(英文版), 1998, 14(3): 234-244. DOI: 10.1007/BF02677404 |
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| 作者姓名： | 李开泰 黄艾香 王贺元 |
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| 作者单位： | Research Centre for Applied Mathematics，Xi'an iiaotong University，Xi'an 710049，China |
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| 摘 要： | 1.IntroductionConsidertheequationdependingontheparametersA,pER,wheref'R-Rands:R-RaresmoothoddfunctionandLetS'u(x)-u(T--x),r={S,I}.Then(l.l)isr-equivalent.Theequality(l.Za)isjustanormalizationoffatx=0.WeintroduceaSobolevspaceX:=Ha(0,7),anddefineamappingT'gEL'(0,T)u'=TaEXimplicitly'Aweakformof(1.1)inXxRZisDuetof(0)~0,theproblem(1.3)(resp.(1))hasatrivialsolutioncurveIfwerestrictp=0,then(l.3)reducestoaproblemwithsingleparameteranditsbifurcationsonthetrivialsolutioncurveCOarewellknown,…
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| 收稿时间： | 1995-03-13 |
Bifurcation solution branches and their numerical approximations of a semi-linear elliptic problem with two parameters |
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| Li Kaitai,Huang Aixiang,Wang Heyuan. Bifurcation solution branches and their numerical approximations of a semi-linear elliptic problem with two parameters[J]. Acta Mathematicae Applicatae Sinica, 1998, 14(3): 234-244. DOI: 10.1007/BF02677404 |
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| Authors: | Li Kaitai Huang Aixiang Wang Heyuan |
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| Affiliation: | (1) Research Centre for Applied Mathematics, Xi’an Jiaotong University, 710049 Xi’an, China |
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| Abstract: | In this paper the bifurcation solution branches of a semi-linear elliptic problem are studied. |
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| Keywords: | Bifurcation point semi-linear elliptic problem numerical approximation |
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