| 非线性积分微分方程组奇摄动边值问题 |
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| 引用本文： | 陈育森. 非线性积分微分方程组奇摄动边值问题[J]. 应用数学学报, 1999, 22(1): 29-37 |
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| 作者姓名： | 陈育森 |
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| 作者单位： | 福建师范大学福清分校!福清350300 |
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| 摘 要： | 本文讨论含积分算子的非线性微分方程组Ｒｏｂｉｎ边值问题的奇摄动，在适当假设条件下通过对角化技巧，利用逐步逼近法证明了解的存在，并得到直到Ｏ（ε＾Ｎ＋１）的按范数界限的一致有效估计。
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| 关 键 词： | 奇摄动 积分微分方程组 边值问题 非线性 |
SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM FOR THE SYSTEM OF NONLINEAR INTEGRAL AND DIFFERENTIAL EQUATIONS |
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| CHEN YUSEN. SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM FOR THE SYSTEM OF NONLINEAR INTEGRAL AND DIFFERENTIAL EQUATIONS[J]. Acta Mathematicae Applicatae Sinica, 1999, 22(1): 29-37 |
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| Authors: | CHEN YUSEN |
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| Abstract: | in this paper we deal with the singular perturbation of Robin boundary value problem for the system of nonlinear differential equations involing integral operator, under the appropriate conditions, by the method of diagonalization and successive approximation, we prove the existence of solution and obtain its estimation which is uniformly valid for all orders till O in norm. |
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| Keywords: | Singular perturbation integral and differential equations boundary value problem diagonalization |
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