| 高阶线性微分算子的一个分解定理 |
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| 引用本文： | 杨力.高阶线性微分算子的一个分解定理[J].西安工业大学学报,2011,31(1):100-102. |
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| 作者姓名： | 杨力 |
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| 作者单位： | 西安工业大学,数理系,西安,710032 |
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| 摘 要： | 通过研究线性微分方程解与系数的关系,得到高阶线性微分算子的一个分解定理.作为此结果的应用,给出高阶线性微分方程可降阶的一个充分条件.
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| 关 键 词： | 线性微分方程 线性微分算子 算子分解定理 解空间 |
A Decomposition Theorem of High-order Linear Differential Opterators |
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| Authors: | YANG Li |
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| Affiliation: | YANG Li(Department of Mathematics and Physics,Xi＇an Technological University,Xian 710032,China) |
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| Abstract: | By studying the relation between the solutions and coefficients of linear differential equations,a decomposition theorem of high-order linear differential operators is obtained.As an application of the theorem a sufficient condition is given for a linear differential equation to reduce order. |
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| Keywords: | linear differential equations linear differential operators decomposition theorem of operators |
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