| 一类三阶奇异摄动差分方程渐近解法 |
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| 引用本文： | 汪静 耿秀芬. 一类三阶奇异摄动差分方程渐近解法[J]. 上海交通大学学报, 1993, 27(3): 98-103 |
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| 作者姓名： | 汪静 耿秀芬 |
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| 作者单位： | 上海交通大学应用数学系，上海交通大学应用数学系，上海交通大学应用数学系 |
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| 基金项目： | 国家自然科学基金(No.19071053)，国家教委优秀年轻教师基金 |
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| 摘 要： | 本文提出了关于一类奇异摄动三阶差分方程问题的渐近解的求解新方法,并利用指数二分性对渐近解作了误差估计,文中还给出了一个具体的计算实例。
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| 关 键 词： | 摄动差分方程 渐近解 误差估计 |
A Method for Finding the Asymptotic Solution to a Class of Singularly Perturbed Third-order Difference Equations |
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| Wang Jing,Gen Xiufen,Qian Zhizhen. A Method for Finding the Asymptotic Solution to a Class of Singularly Perturbed Third-order Difference Equations[J]. Journal of Shanghai Jiaotong University, 1993, 27(3): 98-103 |
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| Authors: | Wang Jing Gen Xiufen Qian Zhizhen |
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| Affiliation: | Wang Jing;Gen Xiufen;Qian Zhizhen |
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| Abstract: | This paper proposes a new, method by which we can obtain an asymptotic solution to third-order singularly perturbed difference equations. The estimation of the error between the asymptotic solution and the accurate solu- tion is obtained using the exponential dichotomy theory. Finally, a concrete numerical example is illustrated. |
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| Keywords: | singularly perturbed difference equation asympotic solution error estimate |
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