| 一类二阶半线性Neumann边值问题的奇异摄动 |
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| 引用本文： | 史玉明 宋翠华. 一类二阶半线性Neumann边值问题的奇异摄动[J]. 曲阜师范大学学报, 1996, 22(4): 28-32 |
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| 作者姓名： | 史玉明 宋翠华 |
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| 作者单位： | [1]曲阜师范大学数学与计算机科学系 [2]曲阜师大附中 |
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| 摘 要： | 应用微分不等式技巧研究了二阶半线性Ｎｅｕｍａｎｎ边值问题的奇异摄动。在退化解满足某些稳定的条件下，得到了摄动解的存在性及其与退经解之差的精确估计式。
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| 关 键 词： | 微分不等式 奇异摄动 微分方程 诺伊曼边值问题 |
SINGULAR PERTURBATIONS FOR A CLASS OF SECOND_ORDER SEMILINEAR NEUMANN BOUNDARY VALUE PROBLEM |
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| Abstract: | The singular perturbations for a class of second-order semilinear Neumann boundary value problem are studied by applying the differential inequality techniques. Under some stable conditions for the reduced solution, the existence of the perturbed solutions and the accurate estimations of the differences between the perturbed solutions and the reduced solutions are obtained. |
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