[1]辛云冰.线性自治滞后型微分方程与常微分方程解的等价性[J].集美大学学报(自然科学版),2015,20(5):382-386.
XIN Yun-bing.Linear Equivalence Self-control Retarded Functional Differential Equations and Solutions to Ordinary Differential Equations[J].Journal of Jimei University,2015,20(5):382-386.
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线性自治滞后型微分方程与常微分方程解的等价性(PDF)
《集美大学学报(自然科学版)》[ISSN:1007-7405/CN:35-1186/N]
- 卷:
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第20卷
- 期数:
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2015年第5期
- 页码:
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382-386
- 栏目:
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数理科学与信息工程
- 出版日期:
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2015-09-30
文章信息/Info
- Title:
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Linear Equivalence Self-control Retarded Functional Differential Equations and Solutions to Ordinary Differential Equations
- 作者:
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辛云冰
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(集美大学理学院,福建 厦门 361021)
- Author(s):
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XIN Yun-bing
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(School of Science,Jimei University,Xiamen 361021,China)
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- 关键词:
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滞后型; 等价; 微分方程; 线性自治
- Keywords:
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retarded; equivalent; differential equations; linear equivalence self-control
- 分类号:
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-
- DOI:
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-
- 文献标志码:
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A
- 摘要:
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考虑齐次线性自治滞后型泛函微分方程(RFDE)的解何时等价于某一齐线性常微分方程组解的问题,利用高等代数中一些基本理论和知识,得到了等价性成立的充要条件,并用例子加以说明方法的正确性.
- Abstract:
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In this paper,linear equivalence of homogeneous linear self-control retarded functional differential equations (RFDE) and a particular homogeneous linear ordinary differential equation were discussed.By using some basic theoretical knowledge of advanced algebra,the necessary and sufficient conditions for the equivalence were gotten.An illustrative example was given to verify the correctness of our results.
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更新日期/Last Update:
2015-11-03