| 二阶拟线性奇摄动微分积分方程Dirichlet问题 |
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| 引用本文： | 汪志鸣 林武忠. 二阶拟线性奇摄动微分积分方程Dirichlet问题[J]. 华东师范大学学报(自然科学版), 1997, 0(3): 1-8 |
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| 作者姓名： | 汪志鸣 林武忠 |
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| 作者单位： | 华东师范大学数学系!上海，200062，华东师范大学数学系!上海，200062 |
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| 基金项目： | 国家自然科学基金!19271051 |
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| 摘 要： | 本文研究含有积分算子的二阶拟线性奇摄动微分积分方程式的Ｄｉｒｉｃｈｌｅｔ问题；构造了它的渐近解，并进行了严格的余项估计；与已有的工作比较，本文不仅扩大了所研究的方程类，而且减少了对问题所加的限制条件。
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| 关 键 词： | 奇摄动 微分积分方程 余项估计 狄利克雷问题 |
Singularly Perturbed Dirichlet Problem for the Second Order Quasilinear Differential-integral Equation |
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| Wang Zhiming, Lin Wuzhong. Singularly Perturbed Dirichlet Problem for the Second Order Quasilinear Differential-integral Equation[J]. Journal of East China Normal University(Natural Science), 1997, 0(3): 1-8 |
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| Authors: | Wang Zhiming Lin Wuzhong |
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| Abstract: | This Paper represents the singularly Perturbed Dirichlet problem for the second order quasilinear differential- integral equation with a nonlinear integral operator. The asymptctic Solutioh wasconstructed and the remainder estimation was proved rigorously . The results in this paper not only extend the extent of the equation studied, but also reduce the restricted conditions to the problem considered . |
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