| 一类高阶半线性方程的奇摄动边值问题 |
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| 引用本文： | 杜晶德.一类高阶半线性方程的奇摄动边值问题[J].上海师范大学学报(自然科学版),1990(3). |
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| 作者姓名： | 杜晶德 |
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| 作者单位： | 华东师范大学数学系 |
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| 摘 要： | 本文研究了一类高阶半线性边值问题■的奇摄动,其中ε>0是小参数。在适当的假设下,作者证明了解的存在性,并得到了解的一致有效的渐近展开式。
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| 关 键 词： | 高阶半线性方程 奇摄动 一致有效的渐近展开式 |
Singularly Perturbed Boundary Value Problems for a Class of Higher Order Semilinear Equations |
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| DU JINGDE.Singularly Perturbed Boundary Value Problems for a Class of Higher Order Semilinear Equations[J].Journal of Shanghai Normal University(Natural Sciences),1990(3). |
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| Authors: | DU JINGDE |
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| Institution: | Department of Mathematics |
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| Abstract: | Singular perturbation for a class of boundary value problems of higher order semilinear equations is studied. Under suitable assumptions, the author proves the existence of solutions, and obtains the uniformly valid asymptotio expansions of the solutions. |
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| Keywords: | higher order semilinear equation singular perturbation unif ormly valid asymptotic expansion |
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