| 差分方程解对初值连续性问题 |
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| 引用本文： | 黄永年 昔秀峰. 差分方程解对初值连续性问题[J]. 新疆大学学报(理工版), 1994, 11(2): 34-41 |
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| 作者姓名： | 黄永年 昔秀峰 |
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| 作者单位： | 新疆大学数学系干旱环境生态所，新疆大学计算机科学系 |
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| 摘 要： | 本文讨论了差分方程的解对初值的连续性问题，对较一般的方程给出了保证解对初值连续的充分条件，对线性方程（组）利用系数矩阵的特征值给出其解对初值连续的条件．
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| 关 键 词： | 差分方程 初值 连续性 差分方程解 |
Dependence of Solutions on Initial Value for Difference Equafions |
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| Huang Yongnian. Dependence of Solutions on Initial Value for Difference Equafions[J]. Journal of Xinjiang University(Science & Engineering), 1994, 11(2): 34-41 |
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| Authors: | Huang Yongnian |
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| Affiliation: | Huang Yongnian(Dept. of Math and Institute and Environmental Ecology)Xi Xiufeng(Dept of Computer Science) |
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| Abstract: | In this paper, we have discussed the continuous dependence of solutions on initial conditions for difference equation. We pointed out what condition for function f or F can guarantee that the solution is continuous function of initial value. Finally,we have discussed the system of linear equations by characteristic values of coefficients matrices. |
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| Keywords: | difference equation continuous dependence of solution on initial value |
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