| A Class of Nonlinear Singularly Perturbed Problems of Fourth Order |
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| 作者姓名： | 莫嘉琪 刘树德 |
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| 作者单位： | Anhui Normal University，Wuhu，241000 |
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| 摘 要： | ConsiderthefollowingnonlinearboundaryvalueproblemwhereEisasmallpositiveparameter,f,Warecontinuouspartialderivativefunctionsregardingtheirvariablesincorrespondenceranges,andfisasecondordercontinuouspartialderivativeaboutu(3).MoJiaqiconsideredaseriesofsingularlyperturbednonlinearproblemsusingthe.differentialinequalitytheory'J-'J.Mo9Jandothers3Jstudiedthesingularlyperturbedprob-lemsoffourthorder.Assumethat(I)Thereducedproblemof(1)-(5)hasafourthordercontinuouspartialderivativesolutionU(x)o…
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| 关 键 词： | 四阶非线性奇摄动问题 非线性边值问题 微分不等式 |
A Class of Nonlinear Singularly Perturbed Problems of Fourth Order |
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| Mo Jiaqi , Liu Shude.A Class of Nonlinear Singularly Perturbed Problems of Fourth Order[J].Chinese Quarterly Journal of Mathematics,1997,12(1):35-37. |
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| Authors: | Mo Jiaqi Liu Shude |
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| Institution: | [1]Anhui [2]Normal |
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| Abstract: | A class of fourth order singularly perturbed boundary value problems are studied. The existence of solution and its uniformly valid asymptotic estimation are obtained. |
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| Keywords: | singular perturbation nonlinear problem differential inequality |
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