| 变时滞差分方程正解的存在性 |
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| 引用本文： | 孟琼,王新年.变时滞差分方程正解的存在性[J].山西大学学报(自然科学版),2004,27(3):230-232. |
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| 作者姓名： | 孟琼 王新年 |
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| 作者单位： | 1. 山西大学,数学科学学院,山西,太原,030006
2. 太原师范学院,数学系,山西,太原,030013 |
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| 基金项目： | The Youth Scientific Foundation of Shanxi Province(2 0 0 310 0 7) |
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| 摘 要： | 利用广义特征方程，得出了线性变时滞差分方程χn 1-χn m∑i=1pi(n)∑ti(n)=0正解存在的充分必要条件，这个条件是时滞泛函微分方程相应结论的离散形式．
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| 关 键 词： | 变时滞 正解 存在性 线性时滞差分方程 |
Existence of Positive Solutions for Difference Equations with Variable Delays |
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| Abstract.Existence of Positive Solutions for Difference Equations with Variable Delays[J].Journal of Shanxi University (Natural Science Edition),2004,27(3):230-232. |
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| Authors: | Abstract |
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| Abstract: | A necessary and sufficient condition for the existence of positive solutions for the linear delay difference equation with variable delays xn+1 - xn + m∑pi(n)xτi(n) = 0i=1 is established by using generalized characteristic equation,which parallels the theory of delay differential equations. |
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| Keywords: | linear delay difference equation positive solution variable delay |
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