| 奇摄动非线性系统的广义转向点性质 |
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| 引用本文： | 刘树德.奇摄动非线性系统的广义转向点性质[J].安徽师范大学学报(自然科学版),1997,20(2):119-122,125. |
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| 作者姓名： | 刘树德 |
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| 作者单位： | 安徽师范大学数学系 |
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| 摘 要： | 本文研究一类具有广义转向点的二维非线性系统的奇摄动问题。运用微分不等式理论和构造分量形式上、下解的方法，证明了所述问题的解的每个分量在转向点呈内单调过渡层性态。
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| 关 键 词： | 奇摄动 广义转向点 内过渡层 非线性系统 |
GENERALIZED TURNING POINT BEHAVIOR IN SINGULARLY PERTURBED NONLINEAR SYSTEMS |
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| Liu Shude.GENERALIZED TURNING POINT BEHAVIOR IN SINGULARLY PERTURBED NONLINEAR SYSTEMS[J].Journal of Anhui Normal University(Natural Science Edition),1997,20(2):119-122,125. |
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| Authors: | Liu Shude |
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| Abstract: | A singularly perturbed problem for a class of two dimentional nonlinear systems with generalized turning points is studied. Using the theory of differential inequalities and method of constructing component wise upper and lower solutions, each component of solutions are shown to exhibit interior monotone transition layer behavior at turning point. |
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| Keywords: | singular perturbation\ generalized turning point\ interior transition layer |
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