| 差分方程非振动的充要条件 |
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| 引用本文： | 周效良.差分方程非振动的充要条件[J].山西大学学报(自然科学版),1992,15(2):131-134. |
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| 作者姓名： | 周效良 |
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| 作者单位： | 山西大学数学系 |
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| 摘 要： | 本文运用拉普拉斯变换证明了一类常系数线性差分方程有最终无界正解当且仅当相应的齐线性差分方程的特征方程有正解。
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| 关 键 词： | 差分方程 最终正解 振动 拉氏变换 |
NECESSARY AND SUFFICIENT CONDITIONS FOR THE NONOSCILLATION OF DIFFERENCE EQUATIONS |
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| Zhou Xiaoliang.NECESSARY AND SUFFICIENT CONDITIONS FOR THE NONOSCILLATION OF DIFFERENCE EQUATIONS[J].Journal of Shanxi University (Natural Science Edition),1992,15(2):131-134. |
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| Authors: | Zhou Xiaoliang |
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| Abstract: | By using Laplace-transforms, it is proved in this paper that a class of linear difference equations with constant coefficient has an eventually unbounded solution if and only if the characteristic equation of the corresponding homogeneous difference equation has positive roots. |
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| Keywords: | difference equation eventually positive solution oscillation |
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