| 一类n阶非线性Robin边值问题的奇异摄动 |
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| 引用本文： | 史玉明 刘光旭. 一类n阶非线性Robin边值问题的奇异摄动[J]. 曲阜师范大学学报, 1995, 21(4): 23-27 |
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| 作者姓名： | 史玉明 刘光旭 |
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| 作者单位： | [1]曲阜师范大学数学系，山东省曲阜市273165 [2]南开大学数学系，天津市300071 |
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| 摘 要： | 在退化解为稳定的假定之下，研究一类n阶线性微分方程的Robin边值问题摄动解的存在性及渐近性，并给出了摄动解与退化解之差的精确估计式。
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| 关 键 词： | n阶非线性Robin边值问题 奇异摄动 Nagumo条件 Iq－稳定 非线性微分方程 摄动解 |
SINGULAR PERTURBATIONS FOR A CLASS OF nTH-ORDER NONLINEAR MIXED BOUNDARY VALUE PROBLEM |
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| Abstract: | Assuming that the reduced solution is stable, the existence and asymptotic behavior of perturbed solution for a class of n th order nonlinear mixed boundary value problem are investigated. The accurate estimations of the differences between the perturbed solutions and the reduced solutions are given out in this paper. |
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| Keywords: | n th order nonlinear mixed boundary value problem singular perturbation nagumo condition I q stable strongly (weakly) stable |
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