| 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]. 华东师范大学学报(自然科学版), 1990, 0(3): 19-25 |
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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ε~2y~(n)=f(x,y,y′,…,y~(n-2),ε),00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： | 半线性方程 奇摄动 边值问题 高阶 |
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 East China Normal University(Natural Science), 1990, 0(3): 19-25 |
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| Authors: | DU JINGDE |
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| Affiliation: | DU JINGDE Department of Mathematics |
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| Abstract: | Singular perturbation for a class of boundary value problems of higher ordersemilinear equations is studied. Under suitable assumptions, the author proves theexistence of solutions, and obtains the uniformly valid asymptotic expansions ofthe solutions. |
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| Keywords: | higher order semilinear eqnation singular perturbation unif ormly valid asymptotic expansion |
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