| SINGULAR PERTURBATIONS OF A HIGHER-ORDER SCALAR NONLINEAR BOUNDARY VALUE PROBLEM |
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| 作者姓名： | 史玉明 高灿柱 |
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| 作者单位： | Shi Yuming(Dept.of Math.Comp.Sci.，Qufu Normal Univ Shandong 273165，China) Gao Canzhu(Dept. of Environ Eng，Shandong Univ，Jinan 250100，China) |
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| 摘 要： | 1IntroductionInthispaper,weconsiderthesingularperturbationsofthefollowinghigher-ordernonlinearboundaryvalueproblemwheree>0isasmallparameter,n22,yER;thegivendataquantitiesHIandHZare(n--2)-d~sionaland2-dimensionalrealvector-valuedfunctions,respectively.ThesendlinearboundaryvalueproblemcanbewrittenintheformOf(1.1)-(1.3).Thesingularperturbationsfortheproblem(1.4)havebeenstudiedbymanyauthors(of.e.g.1]-3]).Thesestudieshavebeenmacebythemethodsofthedifferentialinequalitytechniques.However,itseem…
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SINGULAR PERTURBATIONS OF A HIGHER-ORDER SCALAR NONLINEAR BOUNDARY VALUE PROBLEM |
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| Shi Yuming.SINGULAR PERTURBATIONS OF A HIGHER-ORDER SCALAR NONLINEAR BOUNDARY VALUE PROBLEM[J].Acta Mathematica Scientia,1997(2). |
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| Authors: | Shi Yuming |
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| Abstract: | |
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| Keywords: | singular perturbation uniformly valid asymptotic expansion Green function Banach/Picard fixed-point theorem |
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