| 一类高阶非线性方程的奇摄动 |
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| 引用本文： | 陈秀. 一类高阶非线性方程的奇摄动[J]. 合肥工业大学学报(自然科学版), 1997, 0(2) |
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| 作者姓名： | 陈秀 |
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| 作者单位： | 合肥联合大学 |
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| 摘 要： | 文章利用微分不等式的方法，研究了一类具有非线性边界条件的高阶非线性方程的奇摄动。在适当的假设条件下，证明了解的存在性，并给出了解的渐近估计式。
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| 关 键 词： | 奇摄动；非线性边界条件；边界层 |
SINGULAR PERTURBATIONS FOR A CLASS OF HIGHER ORDER NONLINEAR EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS |
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| Chen Xiu. SINGULAR PERTURBATIONS FOR A CLASS OF HIGHER ORDER NONLINEAR EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS[J]. Journal of Hefei University of Technology(Natural Science), 1997, 0(2) |
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| Authors: | Chen Xiu |
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| Affiliation: | Hefei Associated University |
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| Abstract: | In this paper, we use the theory of differential inequalities to study the sigular perturbation for a class of higher order nonlinear equations with nonlinear boundary conditions. Under appropriate conditons, we prove the existence and the asymptotic behavion of solutions of the original problem. |
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| Keywords: | singular perturbation nonlinear boundary condition boundary layer |
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