线性自治滞后型微分方程与常微分方程解的等价性  

Linear Equivalence Self-control Retarded Functional Differential Equations and Solutions to Ordinary Differential Equations

作　　者：辛云冰[1] 

机构地区：[1]集美大学理学院,福建厦门361021

出　　处：《集美大学学报（自然科学版）》2015年第5期382-386,共5页Journal of Jimei University：Natural Science

基　　金：国家自然科学基金资助项目(10771001);福建省自然科学基金资助项目(A0440005)

摘　　要：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.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.

关 键 词：滞后型 等价 微分方程 线性自治 

分 类 号：O175.14[理学—数学]