| 两种群竞争模型的奇摄动群 |
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| 引用本文： | 许玉兴. 两种群竞争模型的奇摄动群[J]. 大学数学, 1995, 0(3) |
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| 作者姓名： | 许玉兴 |
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| 作者单位： | 安徽师范大学 |
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| 摘 要： | 本文应用多重尺度法构造出非线性微分方程组的解的渐近展开式。并用微分不等式的技巧，证明原问题的解的存在性，且给出解的一致有效渐近估计．
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| 关 键 词： | 奇摄动，多重尺度法，渐近展开式，微分不等式 |
Singularly Perturbed Solution of Two Species Competition |
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| Xu Yuxing. Singularly Perturbed Solution of Two Species Competition[J]. College Mathematics, 1995, 0(3) |
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| Authors: | Xu Yuxing |
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| Affiliation: | Anhui Normal University |
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| Abstract: | In this Pace, We consider the two species competition model of the first-order nonliner differential equations. By using the methods of multiple scales, the asymptotic expansions of solution is considered,and using the technique of differential inequality we prove the existence of solution of the oriqinal Problem,and give the uniformly valid asmptotic estimation of the solution. |
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| Keywords: | Singular perturbation The methods of multipel scles Asymptotic expanaion Differential inequality |
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