集美大学学报（自然科学版）
集美大學學報（自然科學版）
집미대학학보（자연과학판）
Journal of Jimei University(Natural Science)
2015年
5期
382-386
,共5页
滞后型%等价%微分方程%线性自治
滯後型%等價%微分方程%線性自治
체후형%등개%미분방정%선성자치
retarded%equivalent%differential equations%linear equivalence self-control
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.
攷慮齊次線性自治滯後型汎函微分方程 ( RFDE) 的解何時等價于某一齊線性常微分方程組解的問題, 利用高等代數中一些基本理論和知識, 得到瞭等價性成立的充要條件, 併用例子加以說明方法的正確性.
고필제차선성자치체후형범함미분방정 ( RFDE) 적해하시등개우모일제선성상미분방정조해적문제, 이용고등대수중일사기본이론화지식, 득도료등개성성립적충요조건, 병용례자가이설명방법적정학성.
In this paper, linear equivalence of homogeneous linear self-control retarded functional differ-ential 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.
