| 在子区间上奇异摄动的一类边值问题解的渐近分析 |
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| 引用本文： | 谢峰,周瑜.在子区间上奇异摄动的一类边值问题解的渐近分析[J].应用数学与计算数学学报,2012,26(1):1-8. |
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| 作者姓名： | 谢峰 周瑜 |
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| 作者单位： | 东华大学应用数学系,上海,201620 |
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| 基金项目： | 中央高校基本科研业务费专项资金资助项目(12D10907);上海市自然科学基金资助项目(10ZR1400100);上海市教委上海高校计算科学E-研究院项目资助项目(E03004) |
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| 摘 要： | 研究了在子区间上奇异摄动的一类半线性二阶微分方程边值问题,用边界层函数法构造出问题的形式渐近解,借助微分不等式理论证明了渐近解的一致有效性.
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| 关 键 词： | 奇异摄动 渐近展开 微分不等式 |
Asymptotical analysis of solutions for a class of boundary value problems with singular perturbation on a subinterval |
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| XIE Feng,ZHOU Yu.Asymptotical analysis of solutions for a class of boundary value problems with singular perturbation on a subinterval[J].Communication on Applied Mathematics and Computation,2012,26(1):1-8. |
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| Authors: | XIE Feng ZHOU Yu |
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| Institution: | (Department of Applied Mathematics,Donghua University,Shanghai 201620,China) |
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| Abstract: | A class of boundary value problems for second-order semi-linear differential equations with singular perturbation on a subinterval is studied.With the method of the boundary layer function,the formal asymptotic solution is constructed, and its uniformly validity is proved by using the theory of differential inequalities. |
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| Keywords: | singular perturbation asymptotic expansion differential inequalities |
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